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Finding the Third Proportional to 378,460 and 567,746

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Solution

The third proportional to 378,460 and 567,746 is: 851,703.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,460 : 567,746 = 567,746 : x
  2. Step 2: Convert to fraction form
    378,460/567,746 = 567,746/x
  3. Step 3: Cross multiply
    378,460x = 567,746 × 567,746
  4. Step 4: Simplify right side
    378,460x = 322,335,520,516
  5. Step 5: Solve for x
    x = 322,335,520,516/378,460
  6. Step 6: Final answer
    x = 851,703.01

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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.