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Finding the Third Proportional to 336,585 and 729,246

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Solution

The third proportional to 336,585 and 729,246 is: 1,579,986.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,585 : 729,246 = 729,246 : x
  2. Step 2: Convert to fraction form
    336,585/729,246 = 729,246/x
  3. Step 3: Cross multiply
    336,585x = 729,246 × 729,246
  4. Step 4: Simplify right side
    336,585x = 531,799,728,516
  5. Step 5: Solve for x
    x = 531,799,728,516/336,585
  6. Step 6: Final answer
    x = 1,579,986.42

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.