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Finding the Third Proportional to 356,883 and 525,460.50

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Solution

The third proportional to 356,883 and 525,460.50 is: 773,667.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,883 : 525,460.50 = 525,460.50 : x
  2. Step 2: Convert to fraction form
    356,883/525,460.50 = 525,460.50/x
  3. Step 3: Cross multiply
    356,883x = 525,460.50 × 525,460.50
  4. Step 4: Simplify right side
    356,883x = 276,108,737,060.25
  5. Step 5: Solve for x
    x = 276,108,737,060.25/356,883
  6. Step 6: Final answer
    x = 773,667.38

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.