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Finding the Third Proportional to 314,669.39 and 483,950.39

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Solution

The third proportional to 314,669.39 and 483,950.39 is: 744,298.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,669.39 : 483,950.39 = 483,950.39 : x
  2. Step 2: Convert to fraction form
    314,669.39/483,950.39 = 483,950.39/x
  3. Step 3: Cross multiply
    314,669.39x = 483,950.39 × 483,950.39
  4. Step 4: Simplify right side
    314,669.39x = 234,207,980,586.09
  5. Step 5: Solve for x
    x = 234,207,980,586.09/314,669.39
  6. Step 6: Final answer
    x = 744,298.58

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.