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Finding the Third Proportional to 655,776 and 983,664

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Solution

The third proportional to 655,776 and 983,664 is: 1,475,496

Step by Step Solution

  1. Step 1: Write the proportion equation
    655,776 : 983,664 = 983,664 : x
  2. Step 2: Convert to fraction form
    655,776/983,664 = 983,664/x
  3. Step 3: Cross multiply
    655,776x = 983,664 × 983,664
  4. Step 4: Simplify right side
    655,776x = 967,594,864,896
  5. Step 5: Solve for x
    x = 967,594,864,896/655,776
  6. Step 6: Final answer
    x = 1,475,496

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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.