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Finding the Third Proportional to 274,764 and 585,820

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Solution

The third proportional to 274,764 and 585,820 is: 1,249,017.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,764 : 585,820 = 585,820 : x
  2. Step 2: Convert to fraction form
    274,764/585,820 = 585,820/x
  3. Step 3: Cross multiply
    274,764x = 585,820 × 585,820
  4. Step 4: Simplify right side
    274,764x = 343,185,072,400
  5. Step 5: Solve for x
    x = 343,185,072,400/274,764
  6. Step 6: Final answer
    x = 1,249,017.60

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.