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Finding the Third Proportional to 245,656.13 and 520,838.44

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Solution

The third proportional to 245,656.13 and 520,838.44 is: 1,104,278.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,656.13 : 520,838.44 = 520,838.44 : x
  2. Step 2: Convert to fraction form
    245,656.13/520,838.44 = 520,838.44/x
  3. Step 3: Cross multiply
    245,656.13x = 520,838.44 × 520,838.44
  4. Step 4: Simplify right side
    245,656.13x = 271,272,677,977.44
  5. Step 5: Solve for x
    x = 271,272,677,977.44/245,656.13
  6. Step 6: Final answer
    x = 1,104,278.10

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.