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Finding the Third Proportional to 240,482 and 514,312

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Solution

The third proportional to 240,482 and 514,312 is: 1,099,944.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,482 : 514,312 = 514,312 : x
  2. Step 2: Convert to fraction form
    240,482/514,312 = 514,312/x
  3. Step 3: Cross multiply
    240,482x = 514,312 × 514,312
  4. Step 4: Simplify right side
    240,482x = 264,516,833,344
  5. Step 5: Solve for x
    x = 264,516,833,344/240,482
  6. Step 6: Final answer
    x = 1,099,944.42

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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.