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Finding the Third Proportional to 364,258.50 and 542,651.25

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Solution

The third proportional to 364,258.50 and 542,651.25 is: 808,410.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,258.50 : 542,651.25 = 542,651.25 : x
  2. Step 2: Convert to fraction form
    364,258.50/542,651.25 = 542,651.25/x
  3. Step 3: Cross multiply
    364,258.50x = 542,651.25 × 542,651.25
  4. Step 4: Simplify right side
    364,258.50x = 294,470,379,126.56
  5. Step 5: Solve for x
    x = 294,470,379,126.56/364,258.50
  6. Step 6: Final answer
    x = 808,410.45

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.