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Finding the Third Proportional to 551,754 and 741,465

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Solution

The third proportional to 551,754 and 741,465 is: 996,404.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,754 : 741,465 = 741,465 : x
  2. Step 2: Convert to fraction form
    551,754/741,465 = 741,465/x
  3. Step 3: Cross multiply
    551,754x = 741,465 × 741,465
  4. Step 4: Simplify right side
    551,754x = 549,770,346,225
  5. Step 5: Solve for x
    x = 549,770,346,225/551,754
  6. Step 6: Final answer
    x = 996,404.82

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.