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Finding the Third Proportional to 385,256 and 566,733

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Solution

The third proportional to 385,256 and 566,733 is: 833,695.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,256 : 566,733 = 566,733 : x
  2. Step 2: Convert to fraction form
    385,256/566,733 = 566,733/x
  3. Step 3: Cross multiply
    385,256x = 566,733 × 566,733
  4. Step 4: Simplify right side
    385,256x = 321,186,293,289
  5. Step 5: Solve for x
    x = 321,186,293,289/385,256
  6. Step 6: Final answer
    x = 833,695.76

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.