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Finding the Third Proportional to 250,857 and 540,594

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Solution

The third proportional to 250,857 and 540,594 is: 1,164,973.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,857 : 540,594 = 540,594 : x
  2. Step 2: Convert to fraction form
    250,857/540,594 = 540,594/x
  3. Step 3: Cross multiply
    250,857x = 540,594 × 540,594
  4. Step 4: Simplify right side
    250,857x = 292,241,872,836
  5. Step 5: Solve for x
    x = 292,241,872,836/250,857
  6. Step 6: Final answer
    x = 1,164,973.96

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.