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Finding the Third Proportional to 413,700.75 and 892,755

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Solution

The third proportional to 413,700.75 and 892,755 is: 1,926,541.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,700.75 : 892,755 = 892,755 : x
  2. Step 2: Convert to fraction form
    413,700.75/892,755 = 892,755/x
  3. Step 3: Cross multiply
    413,700.75x = 892,755 × 892,755
  4. Step 4: Simplify right side
    413,700.75x = 797,011,490,025
  5. Step 5: Solve for x
    x = 797,011,490,025/413,700.75
  6. Step 6: Final answer
    x = 1,926,541.08

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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.