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Finding the Third Proportional to 247,564 and 528,536

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Solution

The third proportional to 247,564 and 528,536 is: 1,128,396.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,564 : 528,536 = 528,536 : x
  2. Step 2: Convert to fraction form
    247,564/528,536 = 528,536/x
  3. Step 3: Cross multiply
    247,564x = 528,536 × 528,536
  4. Step 4: Simplify right side
    247,564x = 279,350,303,296
  5. Step 5: Solve for x
    x = 279,350,303,296/247,564
  6. Step 6: Final answer
    x = 1,128,396.31

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.