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Finding the Third Proportional to 235,612.50 and 523,470

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Solution

The third proportional to 235,612.50 and 523,470 is: 1,163,014.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,612.50 : 523,470 = 523,470 : x
  2. Step 2: Convert to fraction form
    235,612.50/523,470 = 523,470/x
  3. Step 3: Cross multiply
    235,612.50x = 523,470 × 523,470
  4. Step 4: Simplify right side
    235,612.50x = 274,020,840,900
  5. Step 5: Solve for x
    x = 274,020,840,900/235,612.50
  6. Step 6: Final answer
    x = 1,163,014.87

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.