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Finding the Third Proportional to 492,065 and 735,534

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Solution

The third proportional to 492,065 and 735,534 is: 1,099,469.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,065 : 735,534 = 735,534 : x
  2. Step 2: Convert to fraction form
    492,065/735,534 = 735,534/x
  3. Step 3: Cross multiply
    492,065x = 735,534 × 735,534
  4. Step 4: Simplify right side
    492,065x = 541,010,265,156
  5. Step 5: Solve for x
    x = 541,010,265,156/492,065
  6. Step 6: Final answer
    x = 1,099,469.11

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.