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Finding the Third Proportional to 274,752 and 590,952

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Solution

The third proportional to 274,752 and 590,952 is: 1,271,052.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,752 : 590,952 = 590,952 : x
  2. Step 2: Convert to fraction form
    274,752/590,952 = 590,952/x
  3. Step 3: Cross multiply
    274,752x = 590,952 × 590,952
  4. Step 4: Simplify right side
    274,752x = 349,224,266,304
  5. Step 5: Solve for x
    x = 349,224,266,304/274,752
  6. Step 6: Final answer
    x = 1,271,052.68

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.