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Finding the Third Proportional to 342,092 and 530,985

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Solution

The third proportional to 342,092 and 530,985 is: 824,179.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,092 : 530,985 = 530,985 : x
  2. Step 2: Convert to fraction form
    342,092/530,985 = 530,985/x
  3. Step 3: Cross multiply
    342,092x = 530,985 × 530,985
  4. Step 4: Simplify right side
    342,092x = 281,945,070,225
  5. Step 5: Solve for x
    x = 281,945,070,225/342,092
  6. Step 6: Final answer
    x = 824,179.08

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.