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Finding the Third Proportional to 439,735.50 and 657,004.50

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Solution

The third proportional to 439,735.50 and 657,004.50 is: 981,623.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    439,735.50 : 657,004.50 = 657,004.50 : x
  2. Step 2: Convert to fraction form
    439,735.50/657,004.50 = 657,004.50/x
  3. Step 3: Cross multiply
    439,735.50x = 657,004.50 × 657,004.50
  4. Step 4: Simplify right side
    439,735.50x = 431,654,913,020.25
  5. Step 5: Solve for x
    x = 431,654,913,020.25/439,735.50
  6. Step 6: Final answer
    x = 981,623.98

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.