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Finding the Third Proportional to 476,514 and 740,910

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Solution

The third proportional to 476,514 and 740,910 is: 1,152,007.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,514 : 740,910 = 740,910 : x
  2. Step 2: Convert to fraction form
    476,514/740,910 = 740,910/x
  3. Step 3: Cross multiply
    476,514x = 740,910 × 740,910
  4. Step 4: Simplify right side
    476,514x = 548,947,628,100
  5. Step 5: Solve for x
    x = 548,947,628,100/476,514
  6. Step 6: Final answer
    x = 1,152,007.35

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.