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Finding the Third Proportional to 517,532 and 785,628

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Solution

The third proportional to 517,532 and 785,628 is: 1,192,605.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,532 : 785,628 = 785,628 : x
  2. Step 2: Convert to fraction form
    517,532/785,628 = 785,628/x
  3. Step 3: Cross multiply
    517,532x = 785,628 × 785,628
  4. Step 4: Simplify right side
    517,532x = 617,211,354,384
  5. Step 5: Solve for x
    x = 617,211,354,384/517,532
  6. Step 6: Final answer
    x = 1,192,605.20

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.