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Finding the Third Proportional to 824,377.50 and 1,737,315

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Solution

The third proportional to 824,377.50 and 1,737,315 is: 3,661,263.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    824,377.50 : 1,737,315 = 1,737,315 : x
  2. Step 2: Convert to fraction form
    824,377.50/1,737,315 = 1,737,315/x
  3. Step 3: Cross multiply
    824,377.50x = 1,737,315 × 1,737,315
  4. Step 4: Simplify right side
    824,377.50x = 3,018,263,409,225
  5. Step 5: Solve for x
    x = 3,018,263,409,225/824,377.50
  6. Step 6: Final answer
    x = 3,661,263.69

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.