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Finding the Third Proportional to 262,238 and 575,020

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Solution

The third proportional to 262,238 and 575,020 is: 1,260,869.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,238 : 575,020 = 575,020 : x
  2. Step 2: Convert to fraction form
    262,238/575,020 = 575,020/x
  3. Step 3: Cross multiply
    262,238x = 575,020 × 575,020
  4. Step 4: Simplify right side
    262,238x = 330,648,000,400
  5. Step 5: Solve for x
    x = 330,648,000,400/262,238
  6. Step 6: Final answer
    x = 1,260,869.90

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.