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Finding the Third Proportional to 247,966 and 535,288

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Solution

The third proportional to 247,966 and 535,288 is: 1,155,534.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,966 : 535,288 = 535,288 : x
  2. Step 2: Convert to fraction form
    247,966/535,288 = 535,288/x
  3. Step 3: Cross multiply
    247,966x = 535,288 × 535,288
  4. Step 4: Simplify right side
    247,966x = 286,533,242,944
  5. Step 5: Solve for x
    x = 286,533,242,944/247,966
  6. Step 6: Final answer
    x = 1,155,534.40

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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.