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Finding the Third Proportional to 458,876 and 645,046

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Solution

The third proportional to 458,876 and 645,046 is: 906,746.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,876 : 645,046 = 645,046 : x
  2. Step 2: Convert to fraction form
    458,876/645,046 = 645,046/x
  3. Step 3: Cross multiply
    458,876x = 645,046 × 645,046
  4. Step 4: Simplify right side
    458,876x = 416,084,342,116
  5. Step 5: Solve for x
    x = 416,084,342,116/458,876
  6. Step 6: Final answer
    x = 906,746.79

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.