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Finding the Third Proportional to 449,023.50 and 660,403.13

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Solution

The third proportional to 449,023.50 and 660,403.13 is: 971,290.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,023.50 : 660,403.13 = 660,403.13 : x
  2. Step 2: Convert to fraction form
    449,023.50/660,403.13 = 660,403.13/x
  3. Step 3: Cross multiply
    449,023.50x = 660,403.13 × 660,403.13
  4. Step 4: Simplify right side
    449,023.50x = 436,132,287,509.77
  5. Step 5: Solve for x
    x = 436,132,287,509.77/449,023.50
  6. Step 6: Final answer
    x = 971,290.56

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.