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Finding the Third Proportional to 547,068.94 and 878,986.69

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Solution

The third proportional to 547,068.94 and 878,986.69 is: 1,412,285.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,068.94 : 878,986.69 = 878,986.69 : x
  2. Step 2: Convert to fraction form
    547,068.94/878,986.69 = 878,986.69/x
  3. Step 3: Cross multiply
    547,068.94x = 878,986.69 × 878,986.69
  4. Step 4: Simplify right side
    547,068.94x = 772,617,596,802.22
  5. Step 5: Solve for x
    x = 772,617,596,802.22/547,068.94
  6. Step 6: Final answer
    x = 1,412,285.63

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.