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Finding the Third Proportional to 423,042.75 and 611,226

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Solution

The third proportional to 423,042.75 and 611,226 is: 883,119.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,042.75 : 611,226 = 611,226 : x
  2. Step 2: Convert to fraction form
    423,042.75/611,226 = 611,226/x
  3. Step 3: Cross multiply
    423,042.75x = 611,226 × 611,226
  4. Step 4: Simplify right side
    423,042.75x = 373,597,223,076
  5. Step 5: Solve for x
    x = 373,597,223,076/423,042.75
  6. Step 6: Final answer
    x = 883,119.31

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.