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Finding the Third Proportional to 338,703.19 and 464,437.13

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Solution

The third proportional to 338,703.19 and 464,437.13 is: 636,846.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,703.19 : 464,437.13 = 464,437.13 : x
  2. Step 2: Convert to fraction form
    338,703.19/464,437.13 = 464,437.13/x
  3. Step 3: Cross multiply
    338,703.19x = 464,437.13 × 464,437.13
  4. Step 4: Simplify right side
    338,703.19x = 215,701,843,078.27
  5. Step 5: Solve for x
    x = 215,701,843,078.27/338,703.19
  6. Step 6: Final answer
    x = 636,846.22

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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.