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Finding the Third Proportional to 344,248 and 495,816

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Solution

The third proportional to 344,248 and 495,816 is: 714,117.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,248 : 495,816 = 495,816 : x
  2. Step 2: Convert to fraction form
    344,248/495,816 = 495,816/x
  3. Step 3: Cross multiply
    344,248x = 495,816 × 495,816
  4. Step 4: Simplify right side
    344,248x = 245,833,505,856
  5. Step 5: Solve for x
    x = 245,833,505,856/344,248
  6. Step 6: Final answer
    x = 714,117.46

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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.