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Finding the Third Proportional to 407,199 and 868,477.50

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Solution

The third proportional to 407,199 and 868,477.50 is: 1,852,296.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,199 : 868,477.50 = 868,477.50 : x
  2. Step 2: Convert to fraction form
    407,199/868,477.50 = 868,477.50/x
  3. Step 3: Cross multiply
    407,199x = 868,477.50 × 868,477.50
  4. Step 4: Simplify right side
    407,199x = 754,253,168,006.25
  5. Step 5: Solve for x
    x = 754,253,168,006.25/407,199
  6. Step 6: Final answer
    x = 1,852,296.22

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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.