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Finding the Third Proportional to 656,384 and 983,481

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Solution

The third proportional to 656,384 and 983,481 is: 1,473,580.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,384 : 983,481 = 983,481 : x
  2. Step 2: Convert to fraction form
    656,384/983,481 = 983,481/x
  3. Step 3: Cross multiply
    656,384x = 983,481 × 983,481
  4. Step 4: Simplify right side
    656,384x = 967,234,877,361
  5. Step 5: Solve for x
    x = 967,234,877,361/656,384
  6. Step 6: Final answer
    x = 1,473,580.83

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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.