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Finding the Third Proportional to 241,470 and 524,452.50

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Solution

The third proportional to 241,470 and 524,452.50 is: 1,139,066.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,470 : 524,452.50 = 524,452.50 : x
  2. Step 2: Convert to fraction form
    241,470/524,452.50 = 524,452.50/x
  3. Step 3: Cross multiply
    241,470x = 524,452.50 × 524,452.50
  4. Step 4: Simplify right side
    241,470x = 275,050,424,756.25
  5. Step 5: Solve for x
    x = 275,050,424,756.25/241,470
  6. Step 6: Final answer
    x = 1,139,066.65

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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.