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Finding the Third Proportional to 462,067.50 and 709,929

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Solution

The third proportional to 462,067.50 and 709,929 is: 1,090,747.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,067.50 : 709,929 = 709,929 : x
  2. Step 2: Convert to fraction form
    462,067.50/709,929 = 709,929/x
  3. Step 3: Cross multiply
    462,067.50x = 709,929 × 709,929
  4. Step 4: Simplify right side
    462,067.50x = 503,999,185,041
  5. Step 5: Solve for x
    x = 503,999,185,041/462,067.50
  6. Step 6: Final answer
    x = 1,090,747.96

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.