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Finding the Third Proportional to 304,317 and 465,709.50

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Solution

The third proportional to 304,317 and 465,709.50 is: 712,695.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,317 : 465,709.50 = 465,709.50 : x
  2. Step 2: Convert to fraction form
    304,317/465,709.50 = 465,709.50/x
  3. Step 3: Cross multiply
    304,317x = 465,709.50 × 465,709.50
  4. Step 4: Simplify right side
    304,317x = 216,885,338,390.25
  5. Step 5: Solve for x
    x = 216,885,338,390.25/304,317
  6. Step 6: Final answer
    x = 712,695.44

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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.