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Finding the Third Proportional to 247,428 and 533,952

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Solution

The third proportional to 247,428 and 533,952 is: 1,152,273.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,428 : 533,952 = 533,952 : x
  2. Step 2: Convert to fraction form
    247,428/533,952 = 533,952/x
  3. Step 3: Cross multiply
    247,428x = 533,952 × 533,952
  4. Step 4: Simplify right side
    247,428x = 285,104,738,304
  5. Step 5: Solve for x
    x = 285,104,738,304/247,428
  6. Step 6: Final answer
    x = 1,152,273.54

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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.