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Finding the Third Proportional to 631,660.25 and 971,887.38

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Solution

The third proportional to 631,660.25 and 971,887.38 is: 1,495,368.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,660.25 : 971,887.38 = 971,887.38 : x
  2. Step 2: Convert to fraction form
    631,660.25/971,887.38 = 971,887.38/x
  3. Step 3: Cross multiply
    631,660.25x = 971,887.38 × 971,887.38
  4. Step 4: Simplify right side
    631,660.25x = 944,565,069,684.39
  5. Step 5: Solve for x
    x = 944,565,069,684.39/631,660.25
  6. Step 6: Final answer
    x = 1,495,368.86

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.