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Finding the Third Proportional to 334,132 and 548,527

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Solution

The third proportional to 334,132 and 548,527 is: 900,488.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,132 : 548,527 = 548,527 : x
  2. Step 2: Convert to fraction form
    334,132/548,527 = 548,527/x
  3. Step 3: Cross multiply
    334,132x = 548,527 × 548,527
  4. Step 4: Simplify right side
    334,132x = 300,881,869,729
  5. Step 5: Solve for x
    x = 300,881,869,729/334,132
  6. Step 6: Final answer
    x = 900,488.04

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.