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Finding the Third Proportional to 453,846 and 602,034

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Solution

The third proportional to 453,846 and 602,034 is: 798,607.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,846 : 602,034 = 602,034 : x
  2. Step 2: Convert to fraction form
    453,846/602,034 = 602,034/x
  3. Step 3: Cross multiply
    453,846x = 602,034 × 602,034
  4. Step 4: Simplify right side
    453,846x = 362,444,937,156
  5. Step 5: Solve for x
    x = 362,444,937,156/453,846
  6. Step 6: Final answer
    x = 798,607.76

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.