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Finding the Third Proportional to 262,944 and 375,976.13

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Solution

The third proportional to 262,944 and 375,976.13 is: 537,597.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,944 : 375,976.13 = 375,976.13 : x
  2. Step 2: Convert to fraction form
    262,944/375,976.13 = 375,976.13/x
  3. Step 3: Cross multiply
    262,944x = 375,976.13 × 375,976.13
  4. Step 4: Simplify right side
    262,944x = 141,358,046,570.02
  5. Step 5: Solve for x
    x = 141,358,046,570.02/262,944
  6. Step 6: Final answer
    x = 537,597.54

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.