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Finding the Third Proportional to 343,308 and 502,672

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Solution

The third proportional to 343,308 and 502,672 is: 736,012.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,308 : 502,672 = 502,672 : x
  2. Step 2: Convert to fraction form
    343,308/502,672 = 502,672/x
  3. Step 3: Cross multiply
    343,308x = 502,672 × 502,672
  4. Step 4: Simplify right side
    343,308x = 252,679,139,584
  5. Step 5: Solve for x
    x = 252,679,139,584/343,308
  6. Step 6: Final answer
    x = 736,012.97

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.