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Finding the Third Proportional to 437,353.50 and 714,160.50

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Solution

The third proportional to 437,353.50 and 714,160.50 is: 1,166,162.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,353.50 : 714,160.50 = 714,160.50 : x
  2. Step 2: Convert to fraction form
    437,353.50/714,160.50 = 714,160.50/x
  3. Step 3: Cross multiply
    437,353.50x = 714,160.50 × 714,160.50
  4. Step 4: Simplify right side
    437,353.50x = 510,025,219,760.25
  5. Step 5: Solve for x
    x = 510,025,219,760.25/437,353.50
  6. Step 6: Final answer
    x = 1,166,162.43

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.