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Finding the Third Proportional to 464,997.38 and 658,152.38

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Solution

The third proportional to 464,997.38 and 658,152.38 is: 931,541.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,997.38 : 658,152.38 = 658,152.38 : x
  2. Step 2: Convert to fraction form
    464,997.38/658,152.38 = 658,152.38/x
  3. Step 3: Cross multiply
    464,997.38x = 658,152.38 × 658,152.38
  4. Step 4: Simplify right side
    464,997.38x = 433,164,548,718.14
  5. Step 5: Solve for x
    x = 433,164,548,718.14/464,997.38
  6. Step 6: Final answer
    x = 931,541.92

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.