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Finding the Third Proportional to 451,757 and 602,261

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Solution

The third proportional to 451,757 and 602,261 is: 802,905.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,757 : 602,261 = 602,261 : x
  2. Step 2: Convert to fraction form
    451,757/602,261 = 602,261/x
  3. Step 3: Cross multiply
    451,757x = 602,261 × 602,261
  4. Step 4: Simplify right side
    451,757x = 362,718,312,121
  5. Step 5: Solve for x
    x = 362,718,312,121/451,757
  6. Step 6: Final answer
    x = 802,905.79

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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.