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Finding the Third Proportional to 451,183.50 and 602,091

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Solution

The third proportional to 451,183.50 and 602,091 is: 803,472.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,183.50 : 602,091 = 602,091 : x
  2. Step 2: Convert to fraction form
    451,183.50/602,091 = 602,091/x
  3. Step 3: Cross multiply
    451,183.50x = 602,091 × 602,091
  4. Step 4: Simplify right side
    451,183.50x = 362,513,572,281
  5. Step 5: Solve for x
    x = 362,513,572,281/451,183.50
  6. Step 6: Final answer
    x = 803,472.58

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.