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Finding the Third Proportional to 342,690.75 and 502,341.75

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Solution

The third proportional to 342,690.75 and 502,341.75 is: 736,370.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,690.75 : 502,341.75 = 502,341.75 : x
  2. Step 2: Convert to fraction form
    342,690.75/502,341.75 = 502,341.75/x
  3. Step 3: Cross multiply
    342,690.75x = 502,341.75 × 502,341.75
  4. Step 4: Simplify right side
    342,690.75x = 252,347,233,793.06
  5. Step 5: Solve for x
    x = 252,347,233,793.06/342,690.75
  6. Step 6: Final answer
    x = 736,370.13

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.