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Finding the Third Proportional to 364,049 and 569,840

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Solution

The third proportional to 364,049 and 569,840 is: 891,961.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,049 : 569,840 = 569,840 : x
  2. Step 2: Convert to fraction form
    364,049/569,840 = 569,840/x
  3. Step 3: Cross multiply
    364,049x = 569,840 × 569,840
  4. Step 4: Simplify right side
    364,049x = 324,717,625,600
  5. Step 5: Solve for x
    x = 324,717,625,600/364,049
  6. Step 6: Final answer
    x = 891,961.32

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.