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Finding the Third Proportional to 657,481 and 962,574

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Solution

The third proportional to 657,481 and 962,574 is: 1,409,240.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,481 : 962,574 = 962,574 : x
  2. Step 2: Convert to fraction form
    657,481/962,574 = 962,574/x
  3. Step 3: Cross multiply
    657,481x = 962,574 × 962,574
  4. Step 4: Simplify right side
    657,481x = 926,548,705,476
  5. Step 5: Solve for x
    x = 926,548,705,476/657,481
  6. Step 6: Final answer
    x = 1,409,240.28

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.