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Finding the Third Proportional to 301,138 and 466,559

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Solution

The third proportional to 301,138 and 466,559 is: 722,848.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,138 : 466,559 = 466,559 : x
  2. Step 2: Convert to fraction form
    301,138/466,559 = 466,559/x
  3. Step 3: Cross multiply
    301,138x = 466,559 × 466,559
  4. Step 4: Simplify right side
    301,138x = 217,677,300,481
  5. Step 5: Solve for x
    x = 217,677,300,481/301,138
  6. Step 6: Final answer
    x = 722,848.99

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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.