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Finding the Third Proportional to 374,499 and 566,529

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Solution

The third proportional to 374,499 and 566,529 is: 857,025.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,499 : 566,529 = 566,529 : x
  2. Step 2: Convert to fraction form
    374,499/566,529 = 566,529/x
  3. Step 3: Cross multiply
    374,499x = 566,529 × 566,529
  4. Step 4: Simplify right side
    374,499x = 320,955,107,841
  5. Step 5: Solve for x
    x = 320,955,107,841/374,499
  6. Step 6: Final answer
    x = 857,025.27

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.