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Finding the Third Proportional to 562,495 and 871,203

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Solution

The third proportional to 562,495 and 871,203 is: 1,349,335.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,495 : 871,203 = 871,203 : x
  2. Step 2: Convert to fraction form
    562,495/871,203 = 871,203/x
  3. Step 3: Cross multiply
    562,495x = 871,203 × 871,203
  4. Step 4: Simplify right side
    562,495x = 758,994,667,209
  5. Step 5: Solve for x
    x = 758,994,667,209/562,495
  6. Step 6: Final answer
    x = 1,349,335.85

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.