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Finding the Third Proportional to 313,618 and 471,133

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Solution

The third proportional to 313,618 and 471,133 is: 707,760.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,618 : 471,133 = 471,133 : x
  2. Step 2: Convert to fraction form
    313,618/471,133 = 471,133/x
  3. Step 3: Cross multiply
    313,618x = 471,133 × 471,133
  4. Step 4: Simplify right side
    313,618x = 221,966,303,689
  5. Step 5: Solve for x
    x = 221,966,303,689/313,618
  6. Step 6: Final answer
    x = 707,760.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.