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Finding the Third Proportional to 515,444 and 757,719

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Solution

The third proportional to 515,444 and 757,719 is: 1,113,870.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,444 : 757,719 = 757,719 : x
  2. Step 2: Convert to fraction form
    515,444/757,719 = 757,719/x
  3. Step 3: Cross multiply
    515,444x = 757,719 × 757,719
  4. Step 4: Simplify right side
    515,444x = 574,138,082,961
  5. Step 5: Solve for x
    x = 574,138,082,961/515,444
  6. Step 6: Final answer
    x = 1,113,870.92

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.