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Finding the Third Proportional to 328,573.13 and 497,243.81

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Solution

The third proportional to 328,573.13 and 497,243.81 is: 752,500.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,573.13 : 497,243.81 = 497,243.81 : x
  2. Step 2: Convert to fraction form
    328,573.13/497,243.81 = 497,243.81/x
  3. Step 3: Cross multiply
    328,573.13x = 497,243.81 × 497,243.81
  4. Step 4: Simplify right side
    328,573.13x = 247,251,409,069.54
  5. Step 5: Solve for x
    x = 247,251,409,069.54/328,573.13
  6. Step 6: Final answer
    x = 752,500.40

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.