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Finding the Third Proportional to 280,080 and 614,583

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Solution

The third proportional to 280,080 and 614,583 is: 1,348,587.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,080 : 614,583 = 614,583 : x
  2. Step 2: Convert to fraction form
    280,080/614,583 = 614,583/x
  3. Step 3: Cross multiply
    280,080x = 614,583 × 614,583
  4. Step 4: Simplify right side
    280,080x = 377,712,263,889
  5. Step 5: Solve for x
    x = 377,712,263,889/280,080
  6. Step 6: Final answer
    x = 1,348,587.06

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.