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Finding the Third Proportional to 393,129.07 and 537,965.30

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Solution

The third proportional to 393,129.07 and 537,965.30 is: 736,161.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,129.07 : 537,965.30 = 537,965.30 : x
  2. Step 2: Convert to fraction form
    393,129.07/537,965.30 = 537,965.30/x
  3. Step 3: Cross multiply
    393,129.07x = 537,965.30 × 537,965.30
  4. Step 4: Simplify right side
    393,129.07x = 289,406,660,641.81
  5. Step 5: Solve for x
    x = 289,406,660,641.81/393,129.07
  6. Step 6: Final answer
    x = 736,161.94

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.