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Finding the Third Proportional to 305,417 and 466,022.50

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Solution

The third proportional to 305,417 and 466,022.50 is: 711,083.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,417 : 466,022.50 = 466,022.50 : x
  2. Step 2: Convert to fraction form
    305,417/466,022.50 = 466,022.50/x
  3. Step 3: Cross multiply
    305,417x = 466,022.50 × 466,022.50
  4. Step 4: Simplify right side
    305,417x = 217,176,970,506.25
  5. Step 5: Solve for x
    x = 217,176,970,506.25/305,417
  6. Step 6: Final answer
    x = 711,083.44

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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.