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Finding the Third Proportional to 344,856 and 532,644

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Solution

The third proportional to 344,856 and 532,644 is: 822,690.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,856 : 532,644 = 532,644 : x
  2. Step 2: Convert to fraction form
    344,856/532,644 = 532,644/x
  3. Step 3: Cross multiply
    344,856x = 532,644 × 532,644
  4. Step 4: Simplify right side
    344,856x = 283,709,630,736
  5. Step 5: Solve for x
    x = 283,709,630,736/344,856
  6. Step 6: Final answer
    x = 822,690.14

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.