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Finding the Third Proportional to 519,864 and 761,772

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Solution

The third proportional to 519,864 and 761,772 is: 1,116,246.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,864 : 761,772 = 761,772 : x
  2. Step 2: Convert to fraction form
    519,864/761,772 = 761,772/x
  3. Step 3: Cross multiply
    519,864x = 761,772 × 761,772
  4. Step 4: Simplify right side
    519,864x = 580,296,579,984
  5. Step 5: Solve for x
    x = 580,296,579,984/519,864
  6. Step 6: Final answer
    x = 1,116,246.90

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.