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Finding the Third Proportional to 336,338 and 499,718

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Solution

The third proportional to 336,338 and 499,718 is: 742,461.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,338 : 499,718 = 499,718 : x
  2. Step 2: Convert to fraction form
    336,338/499,718 = 499,718/x
  3. Step 3: Cross multiply
    336,338x = 499,718 × 499,718
  4. Step 4: Simplify right side
    336,338x = 249,718,079,524
  5. Step 5: Solve for x
    x = 249,718,079,524/336,338
  6. Step 6: Final answer
    x = 742,461.69

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.