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Finding the Third Proportional to 383,565 and 595,530

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Solution

The third proportional to 383,565 and 595,530 is: 924,630.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,565 : 595,530 = 595,530 : x
  2. Step 2: Convert to fraction form
    383,565/595,530 = 595,530/x
  3. Step 3: Cross multiply
    383,565x = 595,530 × 595,530
  4. Step 4: Simplify right side
    383,565x = 354,655,980,900
  5. Step 5: Solve for x
    x = 354,655,980,900/383,565
  6. Step 6: Final answer
    x = 924,630.72

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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.