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Finding the Third Proportional to 280,618.88 and 615,566.25

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Solution

The third proportional to 280,618.88 and 615,566.25 is: 1,350,307.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,618.88 : 615,566.25 = 615,566.25 : x
  2. Step 2: Convert to fraction form
    280,618.88/615,566.25 = 615,566.25/x
  3. Step 3: Cross multiply
    280,618.88x = 615,566.25 × 615,566.25
  4. Step 4: Simplify right side
    280,618.88x = 378,921,808,139.06
  5. Step 5: Solve for x
    x = 378,921,808,139.06/280,618.88
  6. Step 6: Final answer
    x = 1,350,307.63

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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.