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Finding the Third Proportional to 371,526 and 814,246

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Solution

The third proportional to 371,526 and 814,246 is: 1,784,522.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,526 : 814,246 = 814,246 : x
  2. Step 2: Convert to fraction form
    371,526/814,246 = 814,246/x
  3. Step 3: Cross multiply
    371,526x = 814,246 × 814,246
  4. Step 4: Simplify right side
    371,526x = 662,996,548,516
  5. Step 5: Solve for x
    x = 662,996,548,516/371,526
  6. Step 6: Final answer
    x = 1,784,522.61

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.