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Finding the Third Proportional to 265,998 and 578,652

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Solution

The third proportional to 265,998 and 578,652 is: 1,258,799.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,998 : 578,652 = 578,652 : x
  2. Step 2: Convert to fraction form
    265,998/578,652 = 578,652/x
  3. Step 3: Cross multiply
    265,998x = 578,652 × 578,652
  4. Step 4: Simplify right side
    265,998x = 334,838,137,104
  5. Step 5: Solve for x
    x = 334,838,137,104/265,998
  6. Step 6: Final answer
    x = 1,258,799.45

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.