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Finding the Third Proportional to 567,795.96 and 872,743.10

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Solution

The third proportional to 567,795.96 and 872,743.10 is: 1,341,468.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,795.96 : 872,743.10 = 872,743.10 : x
  2. Step 2: Convert to fraction form
    567,795.96/872,743.10 = 872,743.10/x
  3. Step 3: Cross multiply
    567,795.96x = 872,743.10 × 872,743.10
  4. Step 4: Simplify right side
    567,795.96x = 761,680,522,603.29
  5. Step 5: Solve for x
    x = 761,680,522,603.29/567,795.96
  6. Step 6: Final answer
    x = 1,341,468.73

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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.