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Finding the Third Proportional to 342,646 and 502,270

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Solution

The third proportional to 342,646 and 502,270 is: 736,255.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,646 : 502,270 = 502,270 : x
  2. Step 2: Convert to fraction form
    342,646/502,270 = 502,270/x
  3. Step 3: Cross multiply
    342,646x = 502,270 × 502,270
  4. Step 4: Simplify right side
    342,646x = 252,275,152,900
  5. Step 5: Solve for x
    x = 252,275,152,900/342,646
  6. Step 6: Final answer
    x = 736,255.94

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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.