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Finding the Third Proportional to 597,852 and 888,264

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Solution

The third proportional to 597,852 and 888,264 is: 1,319,746.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,852 : 888,264 = 888,264 : x
  2. Step 2: Convert to fraction form
    597,852/888,264 = 888,264/x
  3. Step 3: Cross multiply
    597,852x = 888,264 × 888,264
  4. Step 4: Simplify right side
    597,852x = 789,012,933,696
  5. Step 5: Solve for x
    x = 789,012,933,696/597,852
  6. Step 6: Final answer
    x = 1,319,746.25

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.