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Finding the Third Proportional to 276,502 and 606,572

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Solution

The third proportional to 276,502 and 606,572 is: 1,330,657.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,502 : 606,572 = 606,572 : x
  2. Step 2: Convert to fraction form
    276,502/606,572 = 606,572/x
  3. Step 3: Cross multiply
    276,502x = 606,572 × 606,572
  4. Step 4: Simplify right side
    276,502x = 367,929,591,184
  5. Step 5: Solve for x
    x = 367,929,591,184/276,502
  6. Step 6: Final answer
    x = 1,330,657.97

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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.