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Finding the Third Proportional to 393,132.66 and 537,969.94

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Solution

The third proportional to 393,132.66 and 537,969.94 is: 736,167.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,132.66 : 537,969.94 = 537,969.94 : x
  2. Step 2: Convert to fraction form
    393,132.66/537,969.94 = 537,969.94/x
  3. Step 3: Cross multiply
    393,132.66x = 537,969.94 × 537,969.94
  4. Step 4: Simplify right side
    393,132.66x = 289,411,653,653.75
  5. Step 5: Solve for x
    x = 289,411,653,653.75/393,132.66
  6. Step 6: Final answer
    x = 736,167.93

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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.