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Finding the Third Proportional to 384,747 and 574,967

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Solution

The third proportional to 384,747 and 574,967 is: 859,232.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,747 : 574,967 = 574,967 : x
  2. Step 2: Convert to fraction form
    384,747/574,967 = 574,967/x
  3. Step 3: Cross multiply
    384,747x = 574,967 × 574,967
  4. Step 4: Simplify right side
    384,747x = 330,587,051,089
  5. Step 5: Solve for x
    x = 330,587,051,089/384,747
  6. Step 6: Final answer
    x = 859,232.30

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.