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Finding the Third Proportional to 587,989.13 and 828,032.63

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Solution

The third proportional to 587,989.13 and 828,032.63 is: 1,166,072.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,989.13 : 828,032.63 = 828,032.63 : x
  2. Step 2: Convert to fraction form
    587,989.13/828,032.63 = 828,032.63/x
  3. Step 3: Cross multiply
    587,989.13x = 828,032.63 × 828,032.63
  4. Step 4: Simplify right side
    587,989.13x = 685,638,028,064.39
  5. Step 5: Solve for x
    x = 685,638,028,064.39/587,989.13
  6. Step 6: Final answer
    x = 1,166,072.63

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.