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Finding the Third Proportional to 340,205.06 and 730,841.06

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Solution

The third proportional to 340,205.06 and 730,841.06 is: 1,570,019.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,205.06 : 730,841.06 = 730,841.06 : x
  2. Step 2: Convert to fraction form
    340,205.06/730,841.06 = 730,841.06/x
  3. Step 3: Cross multiply
    340,205.06x = 730,841.06 × 730,841.06
  4. Step 4: Simplify right side
    340,205.06x = 534,128,658,636.13
  5. Step 5: Solve for x
    x = 534,128,658,636.13/340,205.06
  6. Step 6: Final answer
    x = 1,570,019.72

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.