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Finding the Third Proportional to 365,812 and 562,985

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Solution

The third proportional to 365,812 and 562,985 is: 866,434.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,812 : 562,985 = 562,985 : x
  2. Step 2: Convert to fraction form
    365,812/562,985 = 562,985/x
  3. Step 3: Cross multiply
    365,812x = 562,985 × 562,985
  4. Step 4: Simplify right side
    365,812x = 316,952,110,225
  5. Step 5: Solve for x
    x = 316,952,110,225/365,812
  6. Step 6: Final answer
    x = 866,434.43

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.