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Finding the Third Proportional to 287,800.50 and 435,714.75

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Solution

The third proportional to 287,800.50 and 435,714.75 is: 659,649.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,800.50 : 435,714.75 = 435,714.75 : x
  2. Step 2: Convert to fraction form
    287,800.50/435,714.75 = 435,714.75/x
  3. Step 3: Cross multiply
    287,800.50x = 435,714.75 × 435,714.75
  4. Step 4: Simplify right side
    287,800.50x = 189,847,343,367.56
  5. Step 5: Solve for x
    x = 189,847,343,367.56/287,800.50
  6. Step 6: Final answer
    x = 659,649.11

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.