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Finding the Third Proportional to 476,354.25 and 740,775.75

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Solution

The third proportional to 476,354.25 and 740,775.75 is: 1,151,976.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,354.25 : 740,775.75 = 740,775.75 : x
  2. Step 2: Convert to fraction form
    476,354.25/740,775.75 = 740,775.75/x
  3. Step 3: Cross multiply
    476,354.25x = 740,775.75 × 740,775.75
  4. Step 4: Simplify right side
    476,354.25x = 548,748,711,788.06
  5. Step 5: Solve for x
    x = 548,748,711,788.06/476,354.25
  6. Step 6: Final answer
    x = 1,151,976.10

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.