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Finding the Third Proportional to 253,040 and 537,232

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Solution

The third proportional to 253,040 and 537,232 is: 1,140,603.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,040 : 537,232 = 537,232 : x
  2. Step 2: Convert to fraction form
    253,040/537,232 = 537,232/x
  3. Step 3: Cross multiply
    253,040x = 537,232 × 537,232
  4. Step 4: Simplify right side
    253,040x = 288,618,221,824
  5. Step 5: Solve for x
    x = 288,618,221,824/253,040
  6. Step 6: Final answer
    x = 1,140,603.15

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.