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Finding the Third Proportional to 678,850.50 and 1,006,521

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Solution

The third proportional to 678,850.50 and 1,006,521 is: 1,492,352.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    678,850.50 : 1,006,521 = 1,006,521 : x
  2. Step 2: Convert to fraction form
    678,850.50/1,006,521 = 1,006,521/x
  3. Step 3: Cross multiply
    678,850.50x = 1,006,521 × 1,006,521
  4. Step 4: Simplify right side
    678,850.50x = 1,013,084,523,441
  5. Step 5: Solve for x
    x = 1,013,084,523,441/678,850.50
  6. Step 6: Final answer
    x = 1,492,352.92

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.