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Finding the Third Proportional to 304,251 and 472,971

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Solution

The third proportional to 304,251 and 472,971 is: 735,253.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,251 : 472,971 = 472,971 : x
  2. Step 2: Convert to fraction form
    304,251/472,971 = 472,971/x
  3. Step 3: Cross multiply
    304,251x = 472,971 × 472,971
  4. Step 4: Simplify right side
    304,251x = 223,701,566,841
  5. Step 5: Solve for x
    x = 223,701,566,841/304,251
  6. Step 6: Final answer
    x = 735,253.35

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.