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Finding the Third Proportional to 329,148 and 708,246

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Solution

The third proportional to 329,148 and 708,246 is: 1,523,972.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,148 : 708,246 = 708,246 : x
  2. Step 2: Convert to fraction form
    329,148/708,246 = 708,246/x
  3. Step 3: Cross multiply
    329,148x = 708,246 × 708,246
  4. Step 4: Simplify right side
    329,148x = 501,612,396,516
  5. Step 5: Solve for x
    x = 501,612,396,516/329,148
  6. Step 6: Final answer
    x = 1,523,972.18

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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.