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Finding the Third Proportional to 247,218 and 529,428

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Solution

The third proportional to 247,218 and 529,428 is: 1,133,792.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,218 : 529,428 = 529,428 : x
  2. Step 2: Convert to fraction form
    247,218/529,428 = 529,428/x
  3. Step 3: Cross multiply
    247,218x = 529,428 × 529,428
  4. Step 4: Simplify right side
    247,218x = 280,294,007,184
  5. Step 5: Solve for x
    x = 280,294,007,184/247,218
  6. Step 6: Final answer
    x = 1,133,792.88

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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.