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Finding the Third Proportional to 452,154 and 602,753

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Solution

The third proportional to 452,154 and 602,753 is: 803,512.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,154 : 602,753 = 602,753 : x
  2. Step 2: Convert to fraction form
    452,154/602,753 = 602,753/x
  3. Step 3: Cross multiply
    452,154x = 602,753 × 602,753
  4. Step 4: Simplify right side
    452,154x = 363,311,179,009
  5. Step 5: Solve for x
    x = 363,311,179,009/452,154
  6. Step 6: Final answer
    x = 803,512.03

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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.