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Finding the Third Proportional to 247,968 and 535,292

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Solution

The third proportional to 247,968 and 535,292 is: 1,155,542.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,968 : 535,292 = 535,292 : x
  2. Step 2: Convert to fraction form
    247,968/535,292 = 535,292/x
  3. Step 3: Cross multiply
    247,968x = 535,292 × 535,292
  4. Step 4: Simplify right side
    247,968x = 286,537,525,264
  5. Step 5: Solve for x
    x = 286,537,525,264/247,968
  6. Step 6: Final answer
    x = 1,155,542.35

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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.