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Finding the Third Proportional to 344,218 and 495,770

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Solution

The third proportional to 344,218 and 495,770 is: 714,047.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,218 : 495,770 = 495,770 : x
  2. Step 2: Convert to fraction form
    344,218/495,770 = 495,770/x
  3. Step 3: Cross multiply
    344,218x = 495,770 × 495,770
  4. Step 4: Simplify right side
    344,218x = 245,787,892,900
  5. Step 5: Solve for x
    x = 245,787,892,900/344,218
  6. Step 6: Final answer
    x = 714,047.18

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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.