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Finding the Third Proportional to 564,272 and 765,489

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Solution

The third proportional to 564,272 and 765,489 is: 1,038,459.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,272 : 765,489 = 765,489 : x
  2. Step 2: Convert to fraction form
    564,272/765,489 = 765,489/x
  3. Step 3: Cross multiply
    564,272x = 765,489 × 765,489
  4. Step 4: Simplify right side
    564,272x = 585,973,409,121
  5. Step 5: Solve for x
    x = 585,973,409,121/564,272
  6. Step 6: Final answer
    x = 1,038,459.13

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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.