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Finding the Third Proportional to 302,716.50 and 468,697.50

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Solution

The third proportional to 302,716.50 and 468,697.50 is: 725,686.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,716.50 : 468,697.50 = 468,697.50 : x
  2. Step 2: Convert to fraction form
    302,716.50/468,697.50 = 468,697.50/x
  3. Step 3: Cross multiply
    302,716.50x = 468,697.50 × 468,697.50
  4. Step 4: Simplify right side
    302,716.50x = 219,677,346,506.25
  5. Step 5: Solve for x
    x = 219,677,346,506.25/302,716.50
  6. Step 6: Final answer
    x = 725,686.73

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.