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Finding the Third Proportional to 430,882.50 and 579,619.50

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Solution

The third proportional to 430,882.50 and 579,619.50 is: 779,699.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,882.50 : 579,619.50 = 579,619.50 : x
  2. Step 2: Convert to fraction form
    430,882.50/579,619.50 = 579,619.50/x
  3. Step 3: Cross multiply
    430,882.50x = 579,619.50 × 579,619.50
  4. Step 4: Simplify right side
    430,882.50x = 335,958,764,780.25
  5. Step 5: Solve for x
    x = 335,958,764,780.25/430,882.50
  6. Step 6: Final answer
    x = 779,699.26

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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.