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Finding the Third Proportional to 388,080 and 579,723.75

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Solution

The third proportional to 388,080 and 579,723.75 is: 866,006.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,080 : 579,723.75 = 579,723.75 : x
  2. Step 2: Convert to fraction form
    388,080/579,723.75 = 579,723.75/x
  3. Step 3: Cross multiply
    388,080x = 579,723.75 × 579,723.75
  4. Step 4: Simplify right side
    388,080x = 336,079,626,314.06
  5. Step 5: Solve for x
    x = 336,079,626,314.06/388,080
  6. Step 6: Final answer
    x = 866,006.05

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.