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Finding the Third Proportional to 571,708 and 840,433

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Solution

The third proportional to 571,708 and 840,433 is: 1,235,469.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    571,708 : 840,433 = 840,433 : x
  2. Step 2: Convert to fraction form
    571,708/840,433 = 840,433/x
  3. Step 3: Cross multiply
    571,708x = 840,433 × 840,433
  4. Step 4: Simplify right side
    571,708x = 706,327,627,489
  5. Step 5: Solve for x
    x = 706,327,627,489/571,708
  6. Step 6: Final answer
    x = 1,235,469.20

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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.