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Finding the Third Proportional to 305,263.31 and 448,748.81

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Solution

The third proportional to 305,263.31 and 448,748.81 is: 659,678.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,263.31 : 448,748.81 = 448,748.81 : x
  2. Step 2: Convert to fraction form
    305,263.31/448,748.81 = 448,748.81/x
  3. Step 3: Cross multiply
    305,263.31x = 448,748.81 × 448,748.81
  4. Step 4: Simplify right side
    305,263.31x = 201,375,496,720.16
  5. Step 5: Solve for x
    x = 201,375,496,720.16/305,263.31
  6. Step 6: Final answer
    x = 659,678.02

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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.