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Finding the Third Proportional to 270,594 and 384,624

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Solution

The third proportional to 270,594 and 384,624 is: 546,706.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,594 : 384,624 = 384,624 : x
  2. Step 2: Convert to fraction form
    270,594/384,624 = 384,624/x
  3. Step 3: Cross multiply
    270,594x = 384,624 × 384,624
  4. Step 4: Simplify right side
    270,594x = 147,935,621,376
  5. Step 5: Solve for x
    x = 147,935,621,376/270,594
  6. Step 6: Final answer
    x = 546,706.95

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.