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Finding the Third Proportional to 280,264.50 and 601,353

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Solution

The third proportional to 280,264.50 and 601,353 is: 1,290,300.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,264.50 : 601,353 = 601,353 : x
  2. Step 2: Convert to fraction form
    280,264.50/601,353 = 601,353/x
  3. Step 3: Cross multiply
    280,264.50x = 601,353 × 601,353
  4. Step 4: Simplify right side
    280,264.50x = 361,625,430,609
  5. Step 5: Solve for x
    x = 361,625,430,609/280,264.50
  6. Step 6: Final answer
    x = 1,290,300.52

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.