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Finding the Third Proportional to 310,049 and 465,069

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Solution

The third proportional to 310,049 and 465,069 is: 697,596.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,049 : 465,069 = 465,069 : x
  2. Step 2: Convert to fraction form
    310,049/465,069 = 465,069/x
  3. Step 3: Cross multiply
    310,049x = 465,069 × 465,069
  4. Step 4: Simplify right side
    310,049x = 216,289,174,761
  5. Step 5: Solve for x
    x = 216,289,174,761/310,049
  6. Step 6: Final answer
    x = 697,596.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.