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Finding the Third Proportional to 464,418 and 654,009.75

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Solution

The third proportional to 464,418 and 654,009.75 is: 920,999.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,418 : 654,009.75 = 654,009.75 : x
  2. Step 2: Convert to fraction form
    464,418/654,009.75 = 654,009.75/x
  3. Step 3: Cross multiply
    464,418x = 654,009.75 × 654,009.75
  4. Step 4: Simplify right side
    464,418x = 427,728,753,095.06
  5. Step 5: Solve for x
    x = 427,728,753,095.06/464,418
  6. Step 6: Final answer
    x = 920,999.52

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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.