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Finding the Third Proportional to 581,278.78 and 848,953.41

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Solution

The third proportional to 581,278.78 and 848,953.41 is: 1,239,890.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    581,278.78 : 848,953.41 = 848,953.41 : x
  2. Step 2: Convert to fraction form
    581,278.78/848,953.41 = 848,953.41/x
  3. Step 3: Cross multiply
    581,278.78x = 848,953.41 × 848,953.41
  4. Step 4: Simplify right side
    581,278.78x = 720,721,885,983.48
  5. Step 5: Solve for x
    x = 720,721,885,983.48/581,278.78
  6. Step 6: Final answer
    x = 1,239,890.24

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.