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Finding the Third Proportional to 338,229 and 728,784

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Solution

The third proportional to 338,229 and 728,784 is: 1,570,315.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,229 : 728,784 = 728,784 : x
  2. Step 2: Convert to fraction form
    338,229/728,784 = 728,784/x
  3. Step 3: Cross multiply
    338,229x = 728,784 × 728,784
  4. Step 4: Simplify right side
    338,229x = 531,126,118,656
  5. Step 5: Solve for x
    x = 531,126,118,656/338,229
  6. Step 6: Final answer
    x = 1,570,315.14

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.