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Finding the Third Proportional to 484,876.13 and 734,063.13

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Solution

The third proportional to 484,876.13 and 734,063.13 is: 1,111,312.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,876.13 : 734,063.13 = 734,063.13 : x
  2. Step 2: Convert to fraction form
    484,876.13/734,063.13 = 734,063.13/x
  3. Step 3: Cross multiply
    484,876.13x = 734,063.13 × 734,063.13
  4. Step 4: Simplify right side
    484,876.13x = 538,848,682,954.50
  5. Step 5: Solve for x
    x = 538,848,682,954.50/484,876.13
  6. Step 6: Final answer
    x = 1,111,312.06

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.