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Finding the Third Proportional to 247,896 and 510,468

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Solution

The third proportional to 247,896 and 510,468 is: 1,051,156.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,896 : 510,468 = 510,468 : x
  2. Step 2: Convert to fraction form
    247,896/510,468 = 510,468/x
  3. Step 3: Cross multiply
    247,896x = 510,468 × 510,468
  4. Step 4: Simplify right side
    247,896x = 260,577,579,024
  5. Step 5: Solve for x
    x = 260,577,579,024/247,896
  6. Step 6: Final answer
    x = 1,051,156.85

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.