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Finding the Third Proportional to 345,081.94 and 706,897.13

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Solution

The third proportional to 345,081.94 and 706,897.13 is: 1,448,072.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,081.94 : 706,897.13 = 706,897.13 : x
  2. Step 2: Convert to fraction form
    345,081.94/706,897.13 = 706,897.13/x
  3. Step 3: Cross multiply
    345,081.94x = 706,897.13 × 706,897.13
  4. Step 4: Simplify right side
    345,081.94x = 499,703,545,333.27
  5. Step 5: Solve for x
    x = 499,703,545,333.27/345,081.94
  6. Step 6: Final answer
    x = 1,448,072.16

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.