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Finding the Third Proportional to 407,107 and 868,317.50

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Solution

The third proportional to 407,107 and 868,317.50 is: 1,852,032.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,107 : 868,317.50 = 868,317.50 : x
  2. Step 2: Convert to fraction form
    407,107/868,317.50 = 868,317.50/x
  3. Step 3: Cross multiply
    407,107x = 868,317.50 × 868,317.50
  4. Step 4: Simplify right side
    407,107x = 753,975,280,806.25
  5. Step 5: Solve for x
    x = 753,975,280,806.25/407,107
  6. Step 6: Final answer
    x = 1,852,032.22

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.