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Finding the Third Proportional to 407,002.50 and 868,041

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Solution

The third proportional to 407,002.50 and 868,041 is: 1,851,328.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,002.50 : 868,041 = 868,041 : x
  2. Step 2: Convert to fraction form
    407,002.50/868,041 = 868,041/x
  3. Step 3: Cross multiply
    407,002.50x = 868,041 × 868,041
  4. Step 4: Simplify right side
    407,002.50x = 753,495,177,681
  5. Step 5: Solve for x
    x = 753,495,177,681/407,002.50
  6. Step 6: Final answer
    x = 1,851,328.13

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Why These Related Problems?

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