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Finding the Third Proportional to 280,280 and 402,924

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Solution

The third proportional to 280,280 and 402,924 is: 579,234.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,280 : 402,924 = 402,924 : x
  2. Step 2: Convert to fraction form
    280,280/402,924 = 402,924/x
  3. Step 3: Cross multiply
    280,280x = 402,924 × 402,924
  4. Step 4: Simplify right side
    280,280x = 162,347,749,776
  5. Step 5: Solve for x
    x = 162,347,749,776/280,280
  6. Step 6: Final answer
    x = 579,234.16

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.