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Finding the Third Proportional to 502,485 and 682,335

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Solution

The third proportional to 502,485 and 682,335 is: 926,557.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,485 : 682,335 = 682,335 : x
  2. Step 2: Convert to fraction form
    502,485/682,335 = 682,335/x
  3. Step 3: Cross multiply
    502,485x = 682,335 × 682,335
  4. Step 4: Simplify right side
    502,485x = 465,581,052,225
  5. Step 5: Solve for x
    x = 465,581,052,225/502,485
  6. Step 6: Final answer
    x = 926,557.12

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.