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Finding the Third Proportional to 534,728 and 713,580

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Solution

The third proportional to 534,728 and 713,580 is: 952,253.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,728 : 713,580 = 713,580 : x
  2. Step 2: Convert to fraction form
    534,728/713,580 = 713,580/x
  3. Step 3: Cross multiply
    534,728x = 713,580 × 713,580
  4. Step 4: Simplify right side
    534,728x = 509,196,416,400
  5. Step 5: Solve for x
    x = 509,196,416,400/534,728
  6. Step 6: Final answer
    x = 952,253.14

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.