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Finding the Third Proportional to 275,315 and 606,506

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Solution

The third proportional to 275,315 and 606,506 is: 1,336,104.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,315 : 606,506 = 606,506 : x
  2. Step 2: Convert to fraction form
    275,315/606,506 = 606,506/x
  3. Step 3: Cross multiply
    275,315x = 606,506 × 606,506
  4. Step 4: Simplify right side
    275,315x = 367,849,528,036
  5. Step 5: Solve for x
    x = 367,849,528,036/275,315
  6. Step 6: Final answer
    x = 1,336,104.20

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.