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Finding the Third Proportional to 284,729 and 383,556

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Solution

The third proportional to 284,729 and 383,556 is: 516,685.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,729 : 383,556 = 383,556 : x
  2. Step 2: Convert to fraction form
    284,729/383,556 = 383,556/x
  3. Step 3: Cross multiply
    284,729x = 383,556 × 383,556
  4. Step 4: Simplify right side
    284,729x = 147,115,205,136
  5. Step 5: Solve for x
    x = 147,115,205,136/284,729
  6. Step 6: Final answer
    x = 516,685.01

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.