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Finding the Third Proportional to 248,411.63 and 538,831.88

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Solution

The third proportional to 248,411.63 and 538,831.88 is: 1,168,785.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,411.63 : 538,831.88 = 538,831.88 : x
  2. Step 2: Convert to fraction form
    248,411.63/538,831.88 = 538,831.88/x
  3. Step 3: Cross multiply
    248,411.63x = 538,831.88 × 538,831.88
  4. Step 4: Simplify right side
    248,411.63x = 290,339,789,516.02
  5. Step 5: Solve for x
    x = 290,339,789,516.02/248,411.63
  6. Step 6: Final answer
    x = 1,168,785.03

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.