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Finding the Third Proportional to 338,104.13 and 713,934

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Solution

The third proportional to 338,104.13 and 713,934 is: 1,507,528.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,104.13 : 713,934 = 713,934 : x
  2. Step 2: Convert to fraction form
    338,104.13/713,934 = 713,934/x
  3. Step 3: Cross multiply
    338,104.13x = 713,934 × 713,934
  4. Step 4: Simplify right side
    338,104.13x = 509,701,756,356
  5. Step 5: Solve for x
    x = 509,701,756,356/338,104.13
  6. Step 6: Final answer
    x = 1,507,528.95

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.