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Finding the Third Proportional to 417,125,565 and 631,056,884

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Solution

The third proportional to 417,125,565 and 631,056,884 is: 954,707,225.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,125,565 : 631,056,884 = 631,056,884 : x
  2. Step 2: Convert to fraction form
    417,125,565/631,056,884 = 631,056,884/x
  3. Step 3: Cross multiply
    417,125,565x = 631,056,884 × 631,056,884
  4. Step 4: Simplify right side
    417,125,565x = 398,232,790,843,789,440
  5. Step 5: Solve for x
    x = 398,232,790,843,789,440/417,125,565
  6. Step 6: Final answer
    x = 954,707,225.49

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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.