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Finding the Third Proportional to 451,829 and 602,371

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Solution

The third proportional to 451,829 and 602,371 is: 803,071.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,829 : 602,371 = 602,371 : x
  2. Step 2: Convert to fraction form
    451,829/602,371 = 602,371/x
  3. Step 3: Cross multiply
    451,829x = 602,371 × 602,371
  4. Step 4: Simplify right side
    451,829x = 362,850,821,641
  5. Step 5: Solve for x
    x = 362,850,821,641/451,829
  6. Step 6: Final answer
    x = 803,071.12

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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.