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Finding the Third Proportional to 522,604.50 and 735,909

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Solution

The third proportional to 522,604.50 and 735,909 is: 1,036,275.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,604.50 : 735,909 = 735,909 : x
  2. Step 2: Convert to fraction form
    522,604.50/735,909 = 735,909/x
  3. Step 3: Cross multiply
    522,604.50x = 735,909 × 735,909
  4. Step 4: Simplify right side
    522,604.50x = 541,562,056,281
  5. Step 5: Solve for x
    x = 541,562,056,281/522,604.50
  6. Step 6: Final answer
    x = 1,036,275.15

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.