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Finding the Third Proportional to 399,558 and 872,746

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Solution

The third proportional to 399,558 and 872,746 is: 1,906,320.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,558 : 872,746 = 872,746 : x
  2. Step 2: Convert to fraction form
    399,558/872,746 = 872,746/x
  3. Step 3: Cross multiply
    399,558x = 872,746 × 872,746
  4. Step 4: Simplify right side
    399,558x = 761,685,580,516
  5. Step 5: Solve for x
    x = 761,685,580,516/399,558
  6. Step 6: Final answer
    x = 1,906,320.44

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.