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Finding the Third Proportional to 572,068.69 and 776,933.44

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Solution

The third proportional to 572,068.69 and 776,933.44 is: 1,055,162.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    572,068.69 : 776,933.44 = 776,933.44 : x
  2. Step 2: Convert to fraction form
    572,068.69/776,933.44 = 776,933.44/x
  3. Step 3: Cross multiply
    572,068.69x = 776,933.44 × 776,933.44
  4. Step 4: Simplify right side
    572,068.69x = 603,625,566,305.57
  5. Step 5: Solve for x
    x = 603,625,566,305.57/572,068.69
  6. Step 6: Final answer
    x = 1,055,162.74

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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.