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Finding the Third Proportional to 280,476 and 600,312

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Solution

The third proportional to 280,476 and 600,312 is: 1,284,867.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,476 : 600,312 = 600,312 : x
  2. Step 2: Convert to fraction form
    280,476/600,312 = 600,312/x
  3. Step 3: Cross multiply
    280,476x = 600,312 × 600,312
  4. Step 4: Simplify right side
    280,476x = 360,374,497,344
  5. Step 5: Solve for x
    x = 360,374,497,344/280,476
  6. Step 6: Final answer
    x = 1,284,867.50

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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.