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Finding the Third Proportional to 413,919.65 and 607,251.30

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Solution

The third proportional to 413,919.65 and 607,251.30 is: 890,883.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,919.65 : 607,251.30 = 607,251.30 : x
  2. Step 2: Convert to fraction form
    413,919.65/607,251.30 = 607,251.30/x
  3. Step 3: Cross multiply
    413,919.65x = 607,251.30 × 607,251.30
  4. Step 4: Simplify right side
    413,919.65x = 368,754,147,044.67
  5. Step 5: Solve for x
    x = 368,754,147,044.67/413,919.65
  6. Step 6: Final answer
    x = 890,883.40

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.