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Finding the Third Proportional to 247,732 and 535,208

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Solution

The third proportional to 247,732 and 535,208 is: 1,156,280.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,732 : 535,208 = 535,208 : x
  2. Step 2: Convert to fraction form
    247,732/535,208 = 535,208/x
  3. Step 3: Cross multiply
    247,732x = 535,208 × 535,208
  4. Step 4: Simplify right side
    247,732x = 286,447,603,264
  5. Step 5: Solve for x
    x = 286,447,603,264/247,732
  6. Step 6: Final answer
    x = 1,156,280.19

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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.