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Finding the Third Proportional to 253,903.50 and 540,705

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Solution

The third proportional to 253,903.50 and 540,705 is: 1,151,468.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,903.50 : 540,705 = 540,705 : x
  2. Step 2: Convert to fraction form
    253,903.50/540,705 = 540,705/x
  3. Step 3: Cross multiply
    253,903.50x = 540,705 × 540,705
  4. Step 4: Simplify right side
    253,903.50x = 292,361,897,025
  5. Step 5: Solve for x
    x = 292,361,897,025/253,903.50
  6. Step 6: Final answer
    x = 1,151,468.56

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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.