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Finding the Third Proportional to 462,917.53 and 660,698.02

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Solution

The third proportional to 462,917.53 and 660,698.02 is: 942,979.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,917.53 : 660,698.02 = 660,698.02 : x
  2. Step 2: Convert to fraction form
    462,917.53/660,698.02 = 660,698.02/x
  3. Step 3: Cross multiply
    462,917.53x = 660,698.02 × 660,698.02
  4. Step 4: Simplify right side
    462,917.53x = 436,521,867,850.81
  5. Step 5: Solve for x
    x = 436,521,867,850.81/462,917.53
  6. Step 6: Final answer
    x = 942,979.77

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.