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Finding the Third Proportional to 551,853 and 741,609

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Solution

The third proportional to 551,853 and 741,609 is: 996,613.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,853 : 741,609 = 741,609 : x
  2. Step 2: Convert to fraction form
    551,853/741,609 = 741,609/x
  3. Step 3: Cross multiply
    551,853x = 741,609 × 741,609
  4. Step 4: Simplify right side
    551,853x = 549,983,908,881
  5. Step 5: Solve for x
    x = 549,983,908,881/551,853
  6. Step 6: Final answer
    x = 996,613.06

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Why These Related Problems?

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