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Finding the Third Proportional to 275,230.13 and 596,262.38

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Solution

The third proportional to 275,230.13 and 596,262.38 is: 1,291,751.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,230.13 : 596,262.38 = 596,262.38 : x
  2. Step 2: Convert to fraction form
    275,230.13/596,262.38 = 596,262.38/x
  3. Step 3: Cross multiply
    275,230.13x = 596,262.38 × 596,262.38
  4. Step 4: Simplify right side
    275,230.13x = 355,528,819,840.64
  5. Step 5: Solve for x
    x = 355,528,819,840.64/275,230.13
  6. Step 6: Final answer
    x = 1,291,751.11

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.