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Finding the Third Proportional to 230,823 and 360,814

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Solution

The third proportional to 230,823 and 360,814 is: 564,011.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,823 : 360,814 = 360,814 : x
  2. Step 2: Convert to fraction form
    230,823/360,814 = 360,814/x
  3. Step 3: Cross multiply
    230,823x = 360,814 × 360,814
  4. Step 4: Simplify right side
    230,823x = 130,186,742,596
  5. Step 5: Solve for x
    x = 130,186,742,596/230,823
  6. Step 6: Final answer
    x = 564,011.14

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.