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Finding the Third Proportional to 270,596.50 and 584,095.50

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Solution

The third proportional to 270,596.50 and 584,095.50 is: 1,260,798.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,596.50 : 584,095.50 = 584,095.50 : x
  2. Step 2: Convert to fraction form
    270,596.50/584,095.50 = 584,095.50/x
  3. Step 3: Cross multiply
    270,596.50x = 584,095.50 × 584,095.50
  4. Step 4: Simplify right side
    270,596.50x = 341,167,553,120.25
  5. Step 5: Solve for x
    x = 341,167,553,120.25/270,596.50
  6. Step 6: Final answer
    x = 1,260,798.10

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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.