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Finding the Third Proportional to 356,592 and 783,456

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Solution

The third proportional to 356,592 and 783,456 is: 1,721,304.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,592 : 783,456 = 783,456 : x
  2. Step 2: Convert to fraction form
    356,592/783,456 = 783,456/x
  3. Step 3: Cross multiply
    356,592x = 783,456 × 783,456
  4. Step 4: Simplify right side
    356,592x = 613,803,303,936
  5. Step 5: Solve for x
    x = 613,803,303,936/356,592
  6. Step 6: Final answer
    x = 1,721,304.19

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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.