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Finding the Third Proportional to 293,034 and 601,602

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Solution

The third proportional to 293,034 and 601,602 is: 1,235,095.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,034 : 601,602 = 601,602 : x
  2. Step 2: Convert to fraction form
    293,034/601,602 = 601,602/x
  3. Step 3: Cross multiply
    293,034x = 601,602 × 601,602
  4. Step 4: Simplify right side
    293,034x = 361,924,966,404
  5. Step 5: Solve for x
    x = 361,924,966,404/293,034
  6. Step 6: Final answer
    x = 1,235,095.47

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.