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Finding the Third Proportional to 390,012.47 and 599,211.42

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Solution

The third proportional to 390,012.47 and 599,211.42 is: 920,622.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,012.47 : 599,211.42 = 599,211.42 : x
  2. Step 2: Convert to fraction form
    390,012.47/599,211.42 = 599,211.42/x
  3. Step 3: Cross multiply
    390,012.47x = 599,211.42 × 599,211.42
  4. Step 4: Simplify right side
    390,012.47x = 359,054,328,105.46
  5. Step 5: Solve for x
    x = 359,054,328,105.46/390,012.47
  6. Step 6: Final answer
    x = 920,622.69

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