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Finding the Third Proportional to 393,835.75 and 611,004.50

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Solution

The third proportional to 393,835.75 and 611,004.50 is: 947,924.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,835.75 : 611,004.50 = 611,004.50 : x
  2. Step 2: Convert to fraction form
    393,835.75/611,004.50 = 611,004.50/x
  3. Step 3: Cross multiply
    393,835.75x = 611,004.50 × 611,004.50
  4. Step 4: Simplify right side
    393,835.75x = 373,326,499,020.25
  5. Step 5: Solve for x
    x = 373,326,499,020.25/393,835.75
  6. Step 6: Final answer
    x = 947,924.35

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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.