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Finding the Third Proportional to 356,724,198.75 and 783,598,608.75

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Solution

The third proportional to 356,724,198.75 and 783,598,608.75 is: 1,721,292,757.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,724,198.75 : 783,598,608.75 = 783,598,608.75 : x
  2. Step 2: Convert to fraction form
    356,724,198.75/783,598,608.75 = 783,598,608.75/x
  3. Step 3: Cross multiply
    356,724,198.75x = 783,598,608.75 × 783,598,608.75
  4. Step 4: Simplify right side
    356,724,198.75x = 614,026,779,634,935,552
  5. Step 5: Solve for x
    x = 614,026,779,634,935,552/356,724,198.75
  6. Step 6: Final answer
    x = 1,721,292,757.22

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.