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Finding the Third Proportional to 274,803 and 602,742

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Solution

The third proportional to 274,803 and 602,742 is: 1,322,030.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,803 : 602,742 = 602,742 : x
  2. Step 2: Convert to fraction form
    274,803/602,742 = 602,742/x
  3. Step 3: Cross multiply
    274,803x = 602,742 × 602,742
  4. Step 4: Simplify right side
    274,803x = 363,297,918,564
  5. Step 5: Solve for x
    x = 363,297,918,564/274,803
  6. Step 6: Final answer
    x = 1,322,030.39

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.