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Finding the Third Proportional to 572,175 and 840,746

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Solution

The third proportional to 572,175 and 840,746 is: 1,235,380.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    572,175 : 840,746 = 840,746 : x
  2. Step 2: Convert to fraction form
    572,175/840,746 = 840,746/x
  3. Step 3: Cross multiply
    572,175x = 840,746 × 840,746
  4. Step 4: Simplify right side
    572,175x = 706,853,836,516
  5. Step 5: Solve for x
    x = 706,853,836,516/572,175
  6. Step 6: Final answer
    x = 1,235,380.50

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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.