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Finding the Third Proportional to 240,416 and 514,186

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Solution

The third proportional to 240,416 and 514,186 is: 1,099,707.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,416 : 514,186 = 514,186 : x
  2. Step 2: Convert to fraction form
    240,416/514,186 = 514,186/x
  3. Step 3: Cross multiply
    240,416x = 514,186 × 514,186
  4. Step 4: Simplify right side
    240,416x = 264,387,242,596
  5. Step 5: Solve for x
    x = 264,387,242,596/240,416
  6. Step 6: Final answer
    x = 1,099,707.35

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.