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Finding the Third Proportional to 386,818.50 and 591,345

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Solution

The third proportional to 386,818.50 and 591,345 is: 904,012.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,818.50 : 591,345 = 591,345 : x
  2. Step 2: Convert to fraction form
    386,818.50/591,345 = 591,345/x
  3. Step 3: Cross multiply
    386,818.50x = 591,345 × 591,345
  4. Step 4: Simplify right side
    386,818.50x = 349,688,909,025
  5. Step 5: Solve for x
    x = 349,688,909,025/386,818.50
  6. Step 6: Final answer
    x = 904,012.89

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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.