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Finding the Third Proportional to 567,839 and 872,802.50

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Solution

The third proportional to 567,839 and 872,802.50 is: 1,341,549.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,839 : 872,802.50 = 872,802.50 : x
  2. Step 2: Convert to fraction form
    567,839/872,802.50 = 872,802.50/x
  3. Step 3: Cross multiply
    567,839x = 872,802.50 × 872,802.50
  4. Step 4: Simplify right side
    567,839x = 761,784,204,006.25
  5. Step 5: Solve for x
    x = 761,784,204,006.25/567,839
  6. Step 6: Final answer
    x = 1,341,549.64

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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.