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Finding the Third Proportional to 383,348 and 595,280

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Solution

The third proportional to 383,348 and 595,280 is: 924,377.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,348 : 595,280 = 595,280 : x
  2. Step 2: Convert to fraction form
    383,348/595,280 = 595,280/x
  3. Step 3: Cross multiply
    383,348x = 595,280 × 595,280
  4. Step 4: Simplify right side
    383,348x = 354,358,278,400
  5. Step 5: Solve for x
    x = 354,358,278,400/383,348
  6. Step 6: Final answer
    x = 924,377.53

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.