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Finding the Third Proportional to 451,478.81 and 602,176.78

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Solution

The third proportional to 451,478.81 and 602,176.78 is: 803,175.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,478.81 : 602,176.78 = 602,176.78 : x
  2. Step 2: Convert to fraction form
    451,478.81/602,176.78 = 602,176.78/x
  3. Step 3: Cross multiply
    451,478.81x = 602,176.78 × 602,176.78
  4. Step 4: Simplify right side
    451,478.81x = 362,616,875,876.61
  5. Step 5: Solve for x
    x = 362,616,875,876.61/451,478.81
  6. Step 6: Final answer
    x = 803,175.84

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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.