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Finding the Third Proportional to 438,434 and 657,657

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Solution

The third proportional to 438,434 and 657,657 is: 986,494.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,434 : 657,657 = 657,657 : x
  2. Step 2: Convert to fraction form
    438,434/657,657 = 657,657/x
  3. Step 3: Cross multiply
    438,434x = 657,657 × 657,657
  4. Step 4: Simplify right side
    438,434x = 432,512,729,649
  5. Step 5: Solve for x
    x = 432,512,729,649/438,434
  6. Step 6: Final answer
    x = 986,494.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.