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Finding the Third Proportional to 340,236 and 502,593.75

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Solution

The third proportional to 340,236 and 502,593.75 is: 742,427.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,236 : 502,593.75 = 502,593.75 : x
  2. Step 2: Convert to fraction form
    340,236/502,593.75 = 502,593.75/x
  3. Step 3: Cross multiply
    340,236x = 502,593.75 × 502,593.75
  4. Step 4: Simplify right side
    340,236x = 252,600,477,539.06
  5. Step 5: Solve for x
    x = 252,600,477,539.06/340,236
  6. Step 6: Final answer
    x = 742,427.25

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.