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Finding the Third Proportional to 388,564.59 and 599,458.22

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Solution

The third proportional to 388,564.59 and 599,458.22 is: 924,814.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,564.59 : 599,458.22 = 599,458.22 : x
  2. Step 2: Convert to fraction form
    388,564.59/599,458.22 = 599,458.22/x
  3. Step 3: Cross multiply
    388,564.59x = 599,458.22 × 599,458.22
  4. Step 4: Simplify right side
    388,564.59x = 359,350,156,026.92
  5. Step 5: Solve for x
    x = 359,350,156,026.92/388,564.59
  6. Step 6: Final answer
    x = 924,814.46

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.