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Finding the Third Proportional to 451,749 and 602,253

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Solution

The third proportional to 451,749 and 602,253 is: 802,898.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,749 : 602,253 = 602,253 : x
  2. Step 2: Convert to fraction form
    451,749/602,253 = 602,253/x
  3. Step 3: Cross multiply
    451,749x = 602,253 × 602,253
  4. Step 4: Simplify right side
    451,749x = 362,708,676,009
  5. Step 5: Solve for x
    x = 362,708,676,009/451,749
  6. Step 6: Final answer
    x = 802,898.68

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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.