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Finding the Third Proportional to 476,543 and 742,949

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Solution

The third proportional to 476,543 and 742,949 is: 1,158,286.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,543 : 742,949 = 742,949 : x
  2. Step 2: Convert to fraction form
    476,543/742,949 = 742,949/x
  3. Step 3: Cross multiply
    476,543x = 742,949 × 742,949
  4. Step 4: Simplify right side
    476,543x = 551,973,216,601
  5. Step 5: Solve for x
    x = 551,973,216,601/476,543
  6. Step 6: Final answer
    x = 1,158,286.28

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.