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Finding the Third Proportional to 567,640 and 872,756

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Solution

The third proportional to 567,640 and 872,756 is: 1,341,876.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,640 : 872,756 = 872,756 : x
  2. Step 2: Convert to fraction form
    567,640/872,756 = 872,756/x
  3. Step 3: Cross multiply
    567,640x = 872,756 × 872,756
  4. Step 4: Simplify right side
    567,640x = 761,703,035,536
  5. Step 5: Solve for x
    x = 761,703,035,536/567,640
  6. Step 6: Final answer
    x = 1,341,876.96

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.