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Finding the Third Proportional to 304,432 and 477,546

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Solution

The third proportional to 304,432 and 477,546 is: 749,100.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,432 : 477,546 = 477,546 : x
  2. Step 2: Convert to fraction form
    304,432/477,546 = 477,546/x
  3. Step 3: Cross multiply
    304,432x = 477,546 × 477,546
  4. Step 4: Simplify right side
    304,432x = 228,050,182,116
  5. Step 5: Solve for x
    x = 228,050,182,116/304,432
  6. Step 6: Final answer
    x = 749,100.56

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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.