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Finding the Third Proportional to 571,344 and 758,447

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Solution

The third proportional to 571,344 and 758,447 is: 1,006,822.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    571,344 : 758,447 = 758,447 : x
  2. Step 2: Convert to fraction form
    571,344/758,447 = 758,447/x
  3. Step 3: Cross multiply
    571,344x = 758,447 × 758,447
  4. Step 4: Simplify right side
    571,344x = 575,241,851,809
  5. Step 5: Solve for x
    x = 575,241,851,809/571,344
  6. Step 6: Final answer
    x = 1,006,822.25

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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.