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Finding the Third Proportional to 434,790 and 571,747

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Solution

The third proportional to 434,790 and 571,747 is: 751,844.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,790 : 571,747 = 571,747 : x
  2. Step 2: Convert to fraction form
    434,790/571,747 = 571,747/x
  3. Step 3: Cross multiply
    434,790x = 571,747 × 571,747
  4. Step 4: Simplify right side
    434,790x = 326,894,632,009
  5. Step 5: Solve for x
    x = 326,894,632,009/434,790
  6. Step 6: Final answer
    x = 751,844.87

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.