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Finding the Third Proportional to 240,282 and 360,423

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Solution

The third proportional to 240,282 and 360,423 is: 540,634.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,282 : 360,423 = 360,423 : x
  2. Step 2: Convert to fraction form
    240,282/360,423 = 360,423/x
  3. Step 3: Cross multiply
    240,282x = 360,423 × 360,423
  4. Step 4: Simplify right side
    240,282x = 129,904,738,929
  5. Step 5: Solve for x
    x = 129,904,738,929/240,282
  6. Step 6: Final answer
    x = 540,634.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.