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Finding the Third Proportional to 415,654.88 and 896,207.63

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Solution

The third proportional to 415,654.88 and 896,207.63 is: 1,932,343.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,654.88 : 896,207.63 = 896,207.63 : x
  2. Step 2: Convert to fraction form
    415,654.88/896,207.63 = 896,207.63/x
  3. Step 3: Cross multiply
    415,654.88x = 896,207.63 × 896,207.63
  4. Step 4: Simplify right side
    415,654.88x = 803,188,107,108.14
  5. Step 5: Solve for x
    x = 803,188,107,108.14/415,654.88
  6. Step 6: Final answer
    x = 1,932,343.77

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