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Finding the Third Proportional to 732,834 and 1,163,200.50

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Solution

The third proportional to 732,834 and 1,163,200.50 is: 1,846,305.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    732,834 : 1,163,200.50 = 1,163,200.50 : x
  2. Step 2: Convert to fraction form
    732,834/1,163,200.50 = 1,163,200.50/x
  3. Step 3: Cross multiply
    732,834x = 1,163,200.50 × 1,163,200.50
  4. Step 4: Simplify right side
    732,834x = 1,353,035,403,200.25
  5. Step 5: Solve for x
    x = 1,353,035,403,200.25/732,834
  6. Step 6: Final answer
    x = 1,846,305.44

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.