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Finding the Third Proportional to 370,215 and 769,527

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Solution

The third proportional to 370,215 and 769,527 is: 1,599,534.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,215 : 769,527 = 769,527 : x
  2. Step 2: Convert to fraction form
    370,215/769,527 = 769,527/x
  3. Step 3: Cross multiply
    370,215x = 769,527 × 769,527
  4. Step 4: Simplify right side
    370,215x = 592,171,803,729
  5. Step 5: Solve for x
    x = 592,171,803,729/370,215
  6. Step 6: Final answer
    x = 1,599,534.87

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.