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Finding the Third Proportional to 280,863 and 601,254

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Solution

The third proportional to 280,863 and 601,254 is: 1,287,127.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,863 : 601,254 = 601,254 : x
  2. Step 2: Convert to fraction form
    280,863/601,254 = 601,254/x
  3. Step 3: Cross multiply
    280,863x = 601,254 × 601,254
  4. Step 4: Simplify right side
    280,863x = 361,506,372,516
  5. Step 5: Solve for x
    x = 361,506,372,516/280,863
  6. Step 6: Final answer
    x = 1,287,127.08

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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.