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Finding the Third Proportional to 240,417 and 514,186.50

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Solution

The third proportional to 240,417 and 514,186.50 is: 1,099,704.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,417 : 514,186.50 = 514,186.50 : x
  2. Step 2: Convert to fraction form
    240,417/514,186.50 = 514,186.50/x
  3. Step 3: Cross multiply
    240,417x = 514,186.50 × 514,186.50
  4. Step 4: Simplify right side
    240,417x = 264,387,756,782.25
  5. Step 5: Solve for x
    x = 264,387,756,782.25/240,417
  6. Step 6: Final answer
    x = 1,099,704.92

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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.