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Finding the Third Proportional to 305,413 and 466,017

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Solution

The third proportional to 305,413 and 466,017 is: 711,075.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,413 : 466,017 = 466,017 : x
  2. Step 2: Convert to fraction form
    305,413/466,017 = 466,017/x
  3. Step 3: Cross multiply
    305,413x = 466,017 × 466,017
  4. Step 4: Simplify right side
    305,413x = 217,171,844,289
  5. Step 5: Solve for x
    x = 217,171,844,289/305,413
  6. Step 6: Final answer
    x = 711,075.97

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.