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Finding the Third Proportional to 451,706.63 and 660,565.13

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Solution

The third proportional to 451,706.63 and 660,565.13 is: 965,994.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,706.63 : 660,565.13 = 660,565.13 : x
  2. Step 2: Convert to fraction form
    451,706.63/660,565.13 = 660,565.13/x
  3. Step 3: Cross multiply
    451,706.63x = 660,565.13 × 660,565.13
  4. Step 4: Simplify right side
    451,706.63x = 436,346,284,366.27
  5. Step 5: Solve for x
    x = 436,346,284,366.27/451,706.63
  6. Step 6: Final answer
    x = 965,994.87

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.