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Finding the Third Proportional to 247,210 and 529,415

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Solution

The third proportional to 247,210 and 529,415 is: 1,133,773.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,210 : 529,415 = 529,415 : x
  2. Step 2: Convert to fraction form
    247,210/529,415 = 529,415/x
  3. Step 3: Cross multiply
    247,210x = 529,415 × 529,415
  4. Step 4: Simplify right side
    247,210x = 280,280,242,225
  5. Step 5: Solve for x
    x = 280,280,242,225/247,210
  6. Step 6: Final answer
    x = 1,133,773.89

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.