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Finding the Third Proportional to 265,034 and 410,835

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Solution

The third proportional to 265,034 and 410,835 is: 636,844.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,034 : 410,835 = 410,835 : x
  2. Step 2: Convert to fraction form
    265,034/410,835 = 410,835/x
  3. Step 3: Cross multiply
    265,034x = 410,835 × 410,835
  4. Step 4: Simplify right side
    265,034x = 168,785,397,225
  5. Step 5: Solve for x
    x = 168,785,397,225/265,034
  6. Step 6: Final answer
    x = 636,844.32

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.