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Finding the Third Proportional to 534,528 and 785,856

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Solution

The third proportional to 534,528 and 785,856 is: 1,155,355.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,528 : 785,856 = 785,856 : x
  2. Step 2: Convert to fraction form
    534,528/785,856 = 785,856/x
  3. Step 3: Cross multiply
    534,528x = 785,856 × 785,856
  4. Step 4: Simplify right side
    534,528x = 617,569,652,736
  5. Step 5: Solve for x
    x = 617,569,652,736/534,528
  6. Step 6: Final answer
    x = 1,155,355.10

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Why These Related Problems?

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