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Finding the Third Proportional to 248,040 and 537,264

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Solution

The third proportional to 248,040 and 537,264 is: 1,163,734.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,040 : 537,264 = 537,264 : x
  2. Step 2: Convert to fraction form
    248,040/537,264 = 537,264/x
  3. Step 3: Cross multiply
    248,040x = 537,264 × 537,264
  4. Step 4: Simplify right side
    248,040x = 288,652,605,696
  5. Step 5: Solve for x
    x = 288,652,605,696/248,040
  6. Step 6: Final answer
    x = 1,163,734.10

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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.