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Finding the Third Proportional to 240,454 and 514,262

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Solution

The third proportional to 240,454 and 514,262 is: 1,099,858.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,454 : 514,262 = 514,262 : x
  2. Step 2: Convert to fraction form
    240,454/514,262 = 514,262/x
  3. Step 3: Cross multiply
    240,454x = 514,262 × 514,262
  4. Step 4: Simplify right side
    240,454x = 264,465,404,644
  5. Step 5: Solve for x
    x = 264,465,404,644/240,454
  6. Step 6: Final answer
    x = 1,099,858.62

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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.