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Finding the Third Proportional to 357,807.38 and 771,666.75

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Solution

The third proportional to 357,807.38 and 771,666.75 is: 1,664,218.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,807.38 : 771,666.75 = 771,666.75 : x
  2. Step 2: Convert to fraction form
    357,807.38/771,666.75 = 771,666.75/x
  3. Step 3: Cross multiply
    357,807.38x = 771,666.75 × 771,666.75
  4. Step 4: Simplify right side
    357,807.38x = 595,469,573,055.56
  5. Step 5: Solve for x
    x = 595,469,573,055.56/357,807.38
  6. Step 6: Final answer
    x = 1,664,218.28

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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.