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Finding the Third Proportional to 449,127 and 660,541

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Solution

The third proportional to 449,127 and 660,541 is: 971,472.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,127 : 660,541 = 660,541 : x
  2. Step 2: Convert to fraction form
    449,127/660,541 = 660,541/x
  3. Step 3: Cross multiply
    449,127x = 660,541 × 660,541
  4. Step 4: Simplify right side
    449,127x = 436,314,412,681
  5. Step 5: Solve for x
    x = 436,314,412,681/449,127
  6. Step 6: Final answer
    x = 971,472.24

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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.