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Finding the Third Proportional to 445,594 and 670,521

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Solution

The third proportional to 445,594 and 670,521 is: 1,008,986.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,594 : 670,521 = 670,521 : x
  2. Step 2: Convert to fraction form
    445,594/670,521 = 670,521/x
  3. Step 3: Cross multiply
    445,594x = 670,521 × 670,521
  4. Step 4: Simplify right side
    445,594x = 449,598,411,441
  5. Step 5: Solve for x
    x = 449,598,411,441/445,594
  6. Step 6: Final answer
    x = 1,008,986.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.