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Finding the Third Proportional to 342,472.50 and 537,219

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Solution

The third proportional to 342,472.50 and 537,219 is: 842,707.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,472.50 : 537,219 = 537,219 : x
  2. Step 2: Convert to fraction form
    342,472.50/537,219 = 537,219/x
  3. Step 3: Cross multiply
    342,472.50x = 537,219 × 537,219
  4. Step 4: Simplify right side
    342,472.50x = 288,604,253,961
  5. Step 5: Solve for x
    x = 288,604,253,961/342,472.50
  6. Step 6: Final answer
    x = 842,707.82

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.