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Finding the Third Proportional to 312,522 and 647,202

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Solution

The third proportional to 312,522 and 647,202 is: 1,340,291.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,522 : 647,202 = 647,202 : x
  2. Step 2: Convert to fraction form
    312,522/647,202 = 647,202/x
  3. Step 3: Cross multiply
    312,522x = 647,202 × 647,202
  4. Step 4: Simplify right side
    312,522x = 418,870,428,804
  5. Step 5: Solve for x
    x = 418,870,428,804/312,522
  6. Step 6: Final answer
    x = 1,340,291.02

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.