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Finding the Third Proportional to 451,755 and 602,258

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Solution

The third proportional to 451,755 and 602,258 is: 802,901.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,755 : 602,258 = 602,258 : x
  2. Step 2: Convert to fraction form
    451,755/602,258 = 602,258/x
  3. Step 3: Cross multiply
    451,755x = 602,258 × 602,258
  4. Step 4: Simplify right side
    451,755x = 362,714,698,564
  5. Step 5: Solve for x
    x = 362,714,698,564/451,755
  6. Step 6: Final answer
    x = 802,901.35

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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.