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Finding the Third Proportional to 247,308 and 533,007

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Solution

The third proportional to 247,308 and 533,007 is: 1,148,755.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,308 : 533,007 = 533,007 : x
  2. Step 2: Convert to fraction form
    247,308/533,007 = 533,007/x
  3. Step 3: Cross multiply
    247,308x = 533,007 × 533,007
  4. Step 4: Simplify right side
    247,308x = 284,096,462,049
  5. Step 5: Solve for x
    x = 284,096,462,049/247,308
  6. Step 6: Final answer
    x = 1,148,755.65

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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.