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Finding the Third Proportional to 247,220 and 529,432

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Solution

The third proportional to 247,220 and 529,432 is: 1,133,800.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,220 : 529,432 = 529,432 : x
  2. Step 2: Convert to fraction form
    247,220/529,432 = 529,432/x
  3. Step 3: Cross multiply
    247,220x = 529,432 × 529,432
  4. Step 4: Simplify right side
    247,220x = 280,298,242,624
  5. Step 5: Solve for x
    x = 280,298,242,624/247,220
  6. Step 6: Final answer
    x = 1,133,800.84

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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.