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Finding the Third Proportional to 304,070 and 476,991

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Solution

The third proportional to 304,070 and 476,991 is: 748,250.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,070 : 476,991 = 476,991 : x
  2. Step 2: Convert to fraction form
    304,070/476,991 = 476,991/x
  3. Step 3: Cross multiply
    304,070x = 476,991 × 476,991
  4. Step 4: Simplify right side
    304,070x = 227,520,414,081
  5. Step 5: Solve for x
    x = 227,520,414,081/304,070
  6. Step 6: Final answer
    x = 748,250.12

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.