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Finding the Third Proportional to 390,880.69 and 586,321.03

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Solution

The third proportional to 390,880.69 and 586,321.03 is: 879,481.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,880.69 : 586,321.03 = 586,321.03 : x
  2. Step 2: Convert to fraction form
    390,880.69/586,321.03 = 586,321.03/x
  3. Step 3: Cross multiply
    390,880.69x = 586,321.03 × 586,321.03
  4. Step 4: Simplify right side
    390,880.69x = 343,772,351,686.06
  5. Step 5: Solve for x
    x = 343,772,351,686.06/390,880.69
  6. Step 6: Final answer
    x = 879,481.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.