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Finding the Third Proportional to 335,677.50 and 512,283

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Solution

The third proportional to 335,677.50 and 512,283 is: 781,803.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,677.50 : 512,283 = 512,283 : x
  2. Step 2: Convert to fraction form
    335,677.50/512,283 = 512,283/x
  3. Step 3: Cross multiply
    335,677.50x = 512,283 × 512,283
  4. Step 4: Simplify right side
    335,677.50x = 262,433,872,089
  5. Step 5: Solve for x
    x = 262,433,872,089/335,677.50
  6. Step 6: Final answer
    x = 781,803.58

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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.