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Finding the Third Proportional to 451,830 and 602,373

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Solution

The third proportional to 451,830 and 602,373 is: 803,074.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,830 : 602,373 = 602,373 : x
  2. Step 2: Convert to fraction form
    451,830/602,373 = 602,373/x
  3. Step 3: Cross multiply
    451,830x = 602,373 × 602,373
  4. Step 4: Simplify right side
    451,830x = 362,853,231,129
  5. Step 5: Solve for x
    x = 362,853,231,129/451,830
  6. Step 6: Final answer
    x = 803,074.68

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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.