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Finding the Third Proportional to 347,648 and 495,888

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Solution

The third proportional to 347,648 and 495,888 is: 707,338.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,648 : 495,888 = 495,888 : x
  2. Step 2: Convert to fraction form
    347,648/495,888 = 495,888/x
  3. Step 3: Cross multiply
    347,648x = 495,888 × 495,888
  4. Step 4: Simplify right side
    347,648x = 245,904,908,544
  5. Step 5: Solve for x
    x = 245,904,908,544/347,648
  6. Step 6: Final answer
    x = 707,338.77

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.