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Finding the Third Proportional to 288,174.38 and 626,184

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Solution

The third proportional to 288,174.38 and 626,184 is: 1,360,656.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,174.38 : 626,184 = 626,184 : x
  2. Step 2: Convert to fraction form
    288,174.38/626,184 = 626,184/x
  3. Step 3: Cross multiply
    288,174.38x = 626,184 × 626,184
  4. Step 4: Simplify right side
    288,174.38x = 392,106,401,856
  5. Step 5: Solve for x
    x = 392,106,401,856/288,174.38
  6. Step 6: Final answer
    x = 1,360,656.73

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.