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Finding the Third Proportional to 376,745 and 565,118

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Solution

The third proportional to 376,745 and 565,118 is: 847,677.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,745 : 565,118 = 565,118 : x
  2. Step 2: Convert to fraction form
    376,745/565,118 = 565,118/x
  3. Step 3: Cross multiply
    376,745x = 565,118 × 565,118
  4. Step 4: Simplify right side
    376,745x = 319,358,353,924
  5. Step 5: Solve for x
    x = 319,358,353,924/376,745
  6. Step 6: Final answer
    x = 847,677.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.