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Finding the Third Proportional to 270,464 and 603,136

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Solution

The third proportional to 270,464 and 603,136 is: 1,344,996.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,464 : 603,136 = 603,136 : x
  2. Step 2: Convert to fraction form
    270,464/603,136 = 603,136/x
  3. Step 3: Cross multiply
    270,464x = 603,136 × 603,136
  4. Step 4: Simplify right side
    270,464x = 363,773,034,496
  5. Step 5: Solve for x
    x = 363,773,034,496/270,464
  6. Step 6: Final answer
    x = 1,344,996.13

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.