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Finding the Third Proportional to 451,726 and 602,226

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Solution

The third proportional to 451,726 and 602,226 is: 802,867.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,726 : 602,226 = 602,226 : x
  2. Step 2: Convert to fraction form
    451,726/602,226 = 602,226/x
  3. Step 3: Cross multiply
    451,726x = 602,226 × 602,226
  4. Step 4: Simplify right side
    451,726x = 362,676,155,076
  5. Step 5: Solve for x
    x = 362,676,155,076/451,726
  6. Step 6: Final answer
    x = 802,867.57

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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.