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Finding the Third Proportional to 281,478.75 and 574,417.50

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Solution

The third proportional to 281,478.75 and 574,417.50 is: 1,172,221.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,478.75 : 574,417.50 = 574,417.50 : x
  2. Step 2: Convert to fraction form
    281,478.75/574,417.50 = 574,417.50/x
  3. Step 3: Cross multiply
    281,478.75x = 574,417.50 × 574,417.50
  4. Step 4: Simplify right side
    281,478.75x = 329,955,464,306.25
  5. Step 5: Solve for x
    x = 329,955,464,306.25/281,478.75
  6. Step 6: Final answer
    x = 1,172,221.58

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.