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Finding the Third Proportional to 455,614.50 and 724,113

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Solution

The third proportional to 455,614.50 and 724,113 is: 1,150,840.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,614.50 : 724,113 = 724,113 : x
  2. Step 2: Convert to fraction form
    455,614.50/724,113 = 724,113/x
  3. Step 3: Cross multiply
    455,614.50x = 724,113 × 724,113
  4. Step 4: Simplify right side
    455,614.50x = 524,339,636,769
  5. Step 5: Solve for x
    x = 524,339,636,769/455,614.50
  6. Step 6: Final answer
    x = 1,150,840.54

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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.