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Finding the Third Proportional to 291,472.03 and 428,872.78

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Solution

The third proportional to 291,472.03 and 428,872.78 is: 631,044.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,472.03 : 428,872.78 = 428,872.78 : x
  2. Step 2: Convert to fraction form
    291,472.03/428,872.78 = 428,872.78/x
  3. Step 3: Cross multiply
    291,472.03x = 428,872.78 × 428,872.78
  4. Step 4: Simplify right side
    291,472.03x = 183,931,862,497.11
  5. Step 5: Solve for x
    x = 183,931,862,497.11/291,472.03
  6. Step 6: Final answer
    x = 631,044.64

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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.