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Finding the Third Proportional to 270,598.50 and 584,557.50

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Solution

The third proportional to 270,598.50 and 584,557.50 is: 1,262,784.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,598.50 : 584,557.50 = 584,557.50 : x
  2. Step 2: Convert to fraction form
    270,598.50/584,557.50 = 584,557.50/x
  3. Step 3: Cross multiply
    270,598.50x = 584,557.50 × 584,557.50
  4. Step 4: Simplify right side
    270,598.50x = 341,707,470,806.25
  5. Step 5: Solve for x
    x = 341,707,470,806.25/270,598.50
  6. Step 6: Final answer
    x = 1,262,784.05

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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.