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Finding the Third Proportional to 315,353 and 502,032

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Solution

The third proportional to 315,353 and 502,032 is: 799,219.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,353 : 502,032 = 502,032 : x
  2. Step 2: Convert to fraction form
    315,353/502,032 = 502,032/x
  3. Step 3: Cross multiply
    315,353x = 502,032 × 502,032
  4. Step 4: Simplify right side
    315,353x = 252,036,129,024
  5. Step 5: Solve for x
    x = 252,036,129,024/315,353
  6. Step 6: Final answer
    x = 799,219.06

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.