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Finding the Third Proportional to 270,903.38 and 593,191.13

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Solution

The third proportional to 270,903.38 and 593,191.13 is: 1,298,897.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,903.38 : 593,191.13 = 593,191.13 : x
  2. Step 2: Convert to fraction form
    270,903.38/593,191.13 = 593,191.13/x
  3. Step 3: Cross multiply
    270,903.38x = 593,191.13 × 593,191.13
  4. Step 4: Simplify right side
    270,903.38x = 351,875,710,778.77
  5. Step 5: Solve for x
    x = 351,875,710,778.77/270,903.38
  6. Step 6: Final answer
    x = 1,298,897.48

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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.