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Finding the Third Proportional to 270,598.88 and 584,557.88

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Solution

The third proportional to 270,598.88 and 584,557.88 is: 1,262,783.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,598.88 : 584,557.88 = 584,557.88 : x
  2. Step 2: Convert to fraction form
    270,598.88/584,557.88 = 584,557.88/x
  3. Step 3: Cross multiply
    270,598.88x = 584,557.88 × 584,557.88
  4. Step 4: Simplify right side
    270,598.88x = 341,707,909,224.52
  5. Step 5: Solve for x
    x = 341,707,909,224.52/270,598.88
  6. Step 6: Final answer
    x = 1,262,783.92

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.