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Finding the Third Proportional to 736,440.75 and 1,142,968.50

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Solution

The third proportional to 736,440.75 and 1,142,968.50 is: 1,773,906.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    736,440.75 : 1,142,968.50 = 1,142,968.50 : x
  2. Step 2: Convert to fraction form
    736,440.75/1,142,968.50 = 1,142,968.50/x
  3. Step 3: Cross multiply
    736,440.75x = 1,142,968.50 × 1,142,968.50
  4. Step 4: Simplify right side
    736,440.75x = 1,306,376,991,992.25
  5. Step 5: Solve for x
    x = 1,306,376,991,992.25/736,440.75
  6. Step 6: Final answer
    x = 1,773,906.44

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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.