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Finding the Third Proportional to 213,994.69 and 506,073.94

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Solution

The third proportional to 213,994.69 and 506,073.94 is: 1,196,809.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,994.69 : 506,073.94 = 506,073.94 : x
  2. Step 2: Convert to fraction form
    213,994.69/506,073.94 = 506,073.94/x
  3. Step 3: Cross multiply
    213,994.69x = 506,073.94 × 506,073.94
  4. Step 4: Simplify right side
    213,994.69x = 256,110,830,216.75
  5. Step 5: Solve for x
    x = 256,110,830,216.75/213,994.69
  6. Step 6: Final answer
    x = 1,196,809.29

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.