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Finding the Third Proportional to 371,286 and 762,246

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Solution

The third proportional to 371,286 and 762,246 is: 1,564,882.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,286 : 762,246 = 762,246 : x
  2. Step 2: Convert to fraction form
    371,286/762,246 = 762,246/x
  3. Step 3: Cross multiply
    371,286x = 762,246 × 762,246
  4. Step 4: Simplify right side
    371,286x = 581,018,964,516
  5. Step 5: Solve for x
    x = 581,018,964,516/371,286
  6. Step 6: Final answer
    x = 1,564,882.50

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.