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Finding the Third Proportional to 307,300.50 and 665,145

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Solution

The third proportional to 307,300.50 and 665,145 is: 1,439,691.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,300.50 : 665,145 = 665,145 : x
  2. Step 2: Convert to fraction form
    307,300.50/665,145 = 665,145/x
  3. Step 3: Cross multiply
    307,300.50x = 665,145 × 665,145
  4. Step 4: Simplify right side
    307,300.50x = 442,417,871,025
  5. Step 5: Solve for x
    x = 442,417,871,025/307,300.50
  6. Step 6: Final answer
    x = 1,439,691.35

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.