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Finding the Third Proportional to 296,142 and 446,877

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Solution

The third proportional to 296,142 and 446,877 is: 674,335.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,142 : 446,877 = 446,877 : x
  2. Step 2: Convert to fraction form
    296,142/446,877 = 446,877/x
  3. Step 3: Cross multiply
    296,142x = 446,877 × 446,877
  4. Step 4: Simplify right side
    296,142x = 199,699,053,129
  5. Step 5: Solve for x
    x = 199,699,053,129/296,142
  6. Step 6: Final answer
    x = 674,335.46

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.