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Finding the Third Proportional to 434,789 and 571,746

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Solution

The third proportional to 434,789 and 571,746 is: 751,843.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,789 : 571,746 = 571,746 : x
  2. Step 2: Convert to fraction form
    434,789/571,746 = 571,746/x
  3. Step 3: Cross multiply
    434,789x = 571,746 × 571,746
  4. Step 4: Simplify right side
    434,789x = 326,893,488,516
  5. Step 5: Solve for x
    x = 326,893,488,516/434,789
  6. Step 6: Final answer
    x = 751,843.97

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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.