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Finding the Third Proportional to 417,125,559.75 and 631,056,876.75

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Solution

The third proportional to 417,125,559.75 and 631,056,876.75 is: 954,707,215.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,125,559.75 : 631,056,876.75 = 631,056,876.75 : x
  2. Step 2: Convert to fraction form
    417,125,559.75/631,056,876.75 = 631,056,876.75/x
  3. Step 3: Cross multiply
    417,125,559.75x = 631,056,876.75 × 631,056,876.75
  4. Step 4: Simplify right side
    417,125,559.75x = 398,232,781,693,464,704
  5. Step 5: Solve for x
    x = 398,232,781,693,464,704/417,125,559.75
  6. Step 6: Final answer
    x = 954,707,215.57

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.