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Finding the Third Proportional to 388,369.69 and 830,710.69

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Solution

The third proportional to 388,369.69 and 830,710.69 is: 1,776,864.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,369.69 : 830,710.69 = 830,710.69 : x
  2. Step 2: Convert to fraction form
    388,369.69/830,710.69 = 830,710.69/x
  3. Step 3: Cross multiply
    388,369.69x = 830,710.69 × 830,710.69
  4. Step 4: Simplify right side
    388,369.69x = 690,080,246,326.72
  5. Step 5: Solve for x
    x = 690,080,246,326.72/388,369.69
  6. Step 6: Final answer
    x = 1,776,864.33

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.