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Finding the Third Proportional to 487,992 and 779,184

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Solution

The third proportional to 487,992 and 779,184 is: 1,244,134.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,992 : 779,184 = 779,184 : x
  2. Step 2: Convert to fraction form
    487,992/779,184 = 779,184/x
  3. Step 3: Cross multiply
    487,992x = 779,184 × 779,184
  4. Step 4: Simplify right side
    487,992x = 607,127,705,856
  5. Step 5: Solve for x
    x = 607,127,705,856/487,992
  6. Step 6: Final answer
    x = 1,244,134.55

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.