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Finding the Third Proportional to 462,981 and 695,703

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Solution

The third proportional to 462,981 and 695,703 is: 1,045,405.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,981 : 695,703 = 695,703 : x
  2. Step 2: Convert to fraction form
    462,981/695,703 = 695,703/x
  3. Step 3: Cross multiply
    462,981x = 695,703 × 695,703
  4. Step 4: Simplify right side
    462,981x = 484,002,664,209
  5. Step 5: Solve for x
    x = 484,002,664,209/462,981
  6. Step 6: Final answer
    x = 1,045,405.03

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