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Finding the Third Proportional to 307,080 and 465,336

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Solution

The third proportional to 307,080 and 465,336 is: 705,150.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,080 : 465,336 = 465,336 : x
  2. Step 2: Convert to fraction form
    307,080/465,336 = 465,336/x
  3. Step 3: Cross multiply
    307,080x = 465,336 × 465,336
  4. Step 4: Simplify right side
    307,080x = 216,537,592,896
  5. Step 5: Solve for x
    x = 216,537,592,896/307,080
  6. Step 6: Final answer
    x = 705,150.43

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.