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Finding the Third Proportional to 572,057.44 and 776,926.69

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Solution

The third proportional to 572,057.44 and 776,926.69 is: 1,055,165.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    572,057.44 : 776,926.69 = 776,926.69 : x
  2. Step 2: Convert to fraction form
    572,057.44/776,926.69 = 776,926.69/x
  3. Step 3: Cross multiply
    572,057.44x = 776,926.69 × 776,926.69
  4. Step 4: Simplify right side
    572,057.44x = 603,615,077,749.72
  5. Step 5: Solve for x
    x = 603,615,077,749.72/572,057.44
  6. Step 6: Final answer
    x = 1,055,165.16

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.