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Finding the Third Proportional to 376,053 and 565,875

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Solution

The third proportional to 376,053 and 565,875 is: 851,514.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,053 : 565,875 = 565,875 : x
  2. Step 2: Convert to fraction form
    376,053/565,875 = 565,875/x
  3. Step 3: Cross multiply
    376,053x = 565,875 × 565,875
  4. Step 4: Simplify right side
    376,053x = 320,214,515,625
  5. Step 5: Solve for x
    x = 320,214,515,625/376,053
  6. Step 6: Final answer
    x = 851,514.32

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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.