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Finding the Third Proportional to 415,560.38 and 896,001.75

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Solution

The third proportional to 415,560.38 and 896,001.75 is: 1,931,895.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,560.38 : 896,001.75 = 896,001.75 : x
  2. Step 2: Convert to fraction form
    415,560.38/896,001.75 = 896,001.75/x
  3. Step 3: Cross multiply
    415,560.38x = 896,001.75 × 896,001.75
  4. Step 4: Simplify right side
    415,560.38x = 802,819,136,003.06
  5. Step 5: Solve for x
    x = 802,819,136,003.06/415,560.38
  6. Step 6: Final answer
    x = 1,931,895.30

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.