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Finding the Third Proportional to 368,646.19 and 586,252.69

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Solution

The third proportional to 368,646.19 and 586,252.69 is: 932,309.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,646.19 : 586,252.69 = 586,252.69 : x
  2. Step 2: Convert to fraction form
    368,646.19/586,252.69 = 586,252.69/x
  3. Step 3: Cross multiply
    368,646.19x = 586,252.69 × 586,252.69
  4. Step 4: Simplify right side
    368,646.19x = 343,692,213,600.97
  5. Step 5: Solve for x
    x = 343,692,213,600.97/368,646.19
  6. Step 6: Final answer
    x = 932,309.15

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.