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Finding the Third Proportional to 292,399 and 465,213

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Solution

The third proportional to 292,399 and 465,213 is: 740,163.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,399 : 465,213 = 465,213 : x
  2. Step 2: Convert to fraction form
    292,399/465,213 = 465,213/x
  3. Step 3: Cross multiply
    292,399x = 465,213 × 465,213
  4. Step 4: Simplify right side
    292,399x = 216,423,135,369
  5. Step 5: Solve for x
    x = 216,423,135,369/292,399
  6. Step 6: Final answer
    x = 740,163.73

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.