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Finding the Third Proportional to 306,243 and 450,612

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Solution

The third proportional to 306,243 and 450,612 is: 663,039.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,243 : 450,612 = 450,612 : x
  2. Step 2: Convert to fraction form
    306,243/450,612 = 450,612/x
  3. Step 3: Cross multiply
    306,243x = 450,612 × 450,612
  4. Step 4: Simplify right side
    306,243x = 203,051,174,544
  5. Step 5: Solve for x
    x = 203,051,174,544/306,243
  6. Step 6: Final answer
    x = 663,039.40

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.