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Finding the Third Proportional to 277,506 and 574,704

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Solution

The third proportional to 277,506 and 574,704 is: 1,190,189.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,506 : 574,704 = 574,704 : x
  2. Step 2: Convert to fraction form
    277,506/574,704 = 574,704/x
  3. Step 3: Cross multiply
    277,506x = 574,704 × 574,704
  4. Step 4: Simplify right side
    277,506x = 330,284,687,616
  5. Step 5: Solve for x
    x = 330,284,687,616/277,506
  6. Step 6: Final answer
    x = 1,190,189.36

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.