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Finding the Third Proportional to 285,309 and 435,577.50

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Solution

The third proportional to 285,309 and 435,577.50 is: 664,990.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,309 : 435,577.50 = 435,577.50 : x
  2. Step 2: Convert to fraction form
    285,309/435,577.50 = 435,577.50/x
  3. Step 3: Cross multiply
    285,309x = 435,577.50 × 435,577.50
  4. Step 4: Simplify right side
    285,309x = 189,727,758,506.25
  5. Step 5: Solve for x
    x = 189,727,758,506.25/285,309
  6. Step 6: Final answer
    x = 664,990.44

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.