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Finding the Third Proportional to 368,466 and 583,452

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Solution

The third proportional to 368,466 and 583,452 is: 923,874.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,466 : 583,452 = 583,452 : x
  2. Step 2: Convert to fraction form
    368,466/583,452 = 583,452/x
  3. Step 3: Cross multiply
    368,466x = 583,452 × 583,452
  4. Step 4: Simplify right side
    368,466x = 340,416,236,304
  5. Step 5: Solve for x
    x = 340,416,236,304/368,466
  6. Step 6: Final answer
    x = 923,874.21

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.