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Finding the Third Proportional to 306,004.50 and 668,733

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Solution

The third proportional to 306,004.50 and 668,733 is: 1,461,428.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,004.50 : 668,733 = 668,733 : x
  2. Step 2: Convert to fraction form
    306,004.50/668,733 = 668,733/x
  3. Step 3: Cross multiply
    306,004.50x = 668,733 × 668,733
  4. Step 4: Simplify right side
    306,004.50x = 447,203,825,289
  5. Step 5: Solve for x
    x = 447,203,825,289/306,004.50
  6. Step 6: Final answer
    x = 1,461,428.92

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.