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Finding the Third Proportional to 295,164 and 442,810

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Solution

The third proportional to 295,164 and 442,810 is: 664,311.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,164 : 442,810 = 442,810 : x
  2. Step 2: Convert to fraction form
    295,164/442,810 = 442,810/x
  3. Step 3: Cross multiply
    295,164x = 442,810 × 442,810
  4. Step 4: Simplify right side
    295,164x = 196,080,696,100
  5. Step 5: Solve for x
    x = 196,080,696,100/295,164
  6. Step 6: Final answer
    x = 664,311.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.