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Finding the Third Proportional to 724,363 and 983,775

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Solution

The third proportional to 724,363 and 983,775 is: 1,336,088.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    724,363 : 983,775 = 983,775 : x
  2. Step 2: Convert to fraction form
    724,363/983,775 = 983,775/x
  3. Step 3: Cross multiply
    724,363x = 983,775 × 983,775
  4. Step 4: Simplify right side
    724,363x = 967,813,250,625
  5. Step 5: Solve for x
    x = 967,813,250,625/724,363
  6. Step 6: Final answer
    x = 1,336,088.74

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.