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Finding the Third Proportional to 445,059 and 657,807.75

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Solution

The third proportional to 445,059 and 657,807.75 is: 972,255.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,059 : 657,807.75 = 657,807.75 : x
  2. Step 2: Convert to fraction form
    445,059/657,807.75 = 657,807.75/x
  3. Step 3: Cross multiply
    445,059x = 657,807.75 × 657,807.75
  4. Step 4: Simplify right side
    445,059x = 432,711,035,960.06
  5. Step 5: Solve for x
    x = 432,711,035,960.06/445,059
  6. Step 6: Final answer
    x = 972,255.44

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.