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Finding the Third Proportional to 285,429 and 444,486.50

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Solution

The third proportional to 285,429 and 444,486.50 is: 692,180.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,429 : 444,486.50 = 444,486.50 : x
  2. Step 2: Convert to fraction form
    285,429/444,486.50 = 444,486.50/x
  3. Step 3: Cross multiply
    285,429x = 444,486.50 × 444,486.50
  4. Step 4: Simplify right side
    285,429x = 197,568,248,682.25
  5. Step 5: Solve for x
    x = 197,568,248,682.25/285,429
  6. Step 6: Final answer
    x = 692,180.01

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.