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Finding the Third Proportional to 247,254 and 529,498

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Solution

The third proportional to 247,254 and 529,498 is: 1,133,927.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,254 : 529,498 = 529,498 : x
  2. Step 2: Convert to fraction form
    247,254/529,498 = 529,498/x
  3. Step 3: Cross multiply
    247,254x = 529,498 × 529,498
  4. Step 4: Simplify right side
    247,254x = 280,368,132,004
  5. Step 5: Solve for x
    x = 280,368,132,004/247,254
  6. Step 6: Final answer
    x = 1,133,927.59

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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.