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Finding the Third Proportional to 508,714.50 and 809,772.50

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Solution

The third proportional to 508,714.50 and 809,772.50 is: 1,288,997.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,714.50 : 809,772.50 = 809,772.50 : x
  2. Step 2: Convert to fraction form
    508,714.50/809,772.50 = 809,772.50/x
  3. Step 3: Cross multiply
    508,714.50x = 809,772.50 × 809,772.50
  4. Step 4: Simplify right side
    508,714.50x = 655,731,501,756.25
  5. Step 5: Solve for x
    x = 655,731,501,756.25/508,714.50
  6. Step 6: Final answer
    x = 1,288,997.07

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.