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Finding the Third Proportional to 399,024 and 583,650

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Solution

The third proportional to 399,024 and 583,650 is: 853,701.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,024 : 583,650 = 583,650 : x
  2. Step 2: Convert to fraction form
    399,024/583,650 = 583,650/x
  3. Step 3: Cross multiply
    399,024x = 583,650 × 583,650
  4. Step 4: Simplify right side
    399,024x = 340,647,322,500
  5. Step 5: Solve for x
    x = 340,647,322,500/399,024
  6. Step 6: Final answer
    x = 853,701.34

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.