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Finding the Third Proportional to 307,130.63 and 658,720.13

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Solution

The third proportional to 307,130.63 and 658,720.13 is: 1,412,793.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,130.63 : 658,720.13 = 658,720.13 : x
  2. Step 2: Convert to fraction form
    307,130.63/658,720.13 = 658,720.13/x
  3. Step 3: Cross multiply
    307,130.63x = 658,720.13 × 658,720.13
  4. Step 4: Simplify right side
    307,130.63x = 433,912,203,080.02
  5. Step 5: Solve for x
    x = 433,912,203,080.02/307,130.63
  6. Step 6: Final answer
    x = 1,412,793.67

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.