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Finding the Third Proportional to 304,306.88 and 650,824.88

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Solution

The third proportional to 304,306.88 and 650,824.88 is: 1,391,927.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,306.88 : 650,824.88 = 650,824.88 : x
  2. Step 2: Convert to fraction form
    304,306.88/650,824.88 = 650,824.88/x
  3. Step 3: Cross multiply
    304,306.88x = 650,824.88 × 650,824.88
  4. Step 4: Simplify right side
    304,306.88x = 423,573,017,918.77
  5. Step 5: Solve for x
    x = 423,573,017,918.77/304,306.88
  6. Step 6: Final answer
    x = 1,391,927.20

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.