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Finding the Third Proportional to 283,023 and 424,492.50

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Solution

The third proportional to 283,023 and 424,492.50 is: 636,675.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,023 : 424,492.50 = 424,492.50 : x
  2. Step 2: Convert to fraction form
    283,023/424,492.50 = 424,492.50/x
  3. Step 3: Cross multiply
    283,023x = 424,492.50 × 424,492.50
  4. Step 4: Simplify right side
    283,023x = 180,193,882,556.25
  5. Step 5: Solve for x
    x = 180,193,882,556.25/283,023
  6. Step 6: Final answer
    x = 636,675.76

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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.