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Finding the Third Proportional to 248,475 and 536,292

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Solution

The third proportional to 248,475 and 536,292 is: 1,157,497.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,475 : 536,292 = 536,292 : x
  2. Step 2: Convert to fraction form
    248,475/536,292 = 536,292/x
  3. Step 3: Cross multiply
    248,475x = 536,292 × 536,292
  4. Step 4: Simplify right side
    248,475x = 287,609,109,264
  5. Step 5: Solve for x
    x = 287,609,109,264/248,475
  6. Step 6: Final answer
    x = 1,157,497.17

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.