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Finding the Third Proportional to 346,237.03 and 517,969.69

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Solution

The third proportional to 346,237.03 and 517,969.69 is: 774,881.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,237.03 : 517,969.69 = 517,969.69 : x
  2. Step 2: Convert to fraction form
    346,237.03/517,969.69 = 517,969.69/x
  3. Step 3: Cross multiply
    346,237.03x = 517,969.69 × 517,969.69
  4. Step 4: Simplify right side
    346,237.03x = 268,292,597,168.85
  5. Step 5: Solve for x
    x = 268,292,597,168.85/346,237.03
  6. Step 6: Final answer
    x = 774,881.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.