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Finding the Third Proportional to 240,393 and 373,713

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Solution

The third proportional to 240,393 and 373,713 is: 580,971.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,393 : 373,713 = 373,713 : x
  2. Step 2: Convert to fraction form
    240,393/373,713 = 373,713/x
  3. Step 3: Cross multiply
    240,393x = 373,713 × 373,713
  4. Step 4: Simplify right side
    240,393x = 139,661,406,369
  5. Step 5: Solve for x
    x = 139,661,406,369/240,393
  6. Step 6: Final answer
    x = 580,971.19

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.