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Finding the Third Proportional to 407,196 and 868,470.75

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Solution

The third proportional to 407,196 and 868,470.75 is: 1,852,281.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,196 : 868,470.75 = 868,470.75 : x
  2. Step 2: Convert to fraction form
    407,196/868,470.75 = 868,470.75/x
  3. Step 3: Cross multiply
    407,196x = 868,470.75 × 868,470.75
  4. Step 4: Simplify right side
    407,196x = 754,241,443,605.56
  5. Step 5: Solve for x
    x = 754,241,443,605.56/407,196
  6. Step 6: Final answer
    x = 1,852,281.07

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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.