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Finding the Third Proportional to 383,454 and 600,210

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Solution

The third proportional to 383,454 and 600,210 is: 939,492.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,454 : 600,210 = 600,210 : x
  2. Step 2: Convert to fraction form
    383,454/600,210 = 600,210/x
  3. Step 3: Cross multiply
    383,454x = 600,210 × 600,210
  4. Step 4: Simplify right side
    383,454x = 360,252,044,100
  5. Step 5: Solve for x
    x = 360,252,044,100/383,454
  6. Step 6: Final answer
    x = 939,492.21

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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.