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Finding the Third Proportional to 556,098.75 and 832,231.13

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Solution

The third proportional to 556,098.75 and 832,231.13 is: 1,245,477.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,098.75 : 832,231.13 = 832,231.13 : x
  2. Step 2: Convert to fraction form
    556,098.75/832,231.13 = 832,231.13/x
  3. Step 3: Cross multiply
    556,098.75x = 832,231.13 × 832,231.13
  4. Step 4: Simplify right side
    556,098.75x = 692,608,645,418.77
  5. Step 5: Solve for x
    x = 692,608,645,418.77/556,098.75
  6. Step 6: Final answer
    x = 1,245,477.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.