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Finding the Third Proportional to 376,335 and 814,011

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Solution

The third proportional to 376,335 and 814,011 is: 1,760,702.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,335 : 814,011 = 814,011 : x
  2. Step 2: Convert to fraction form
    376,335/814,011 = 814,011/x
  3. Step 3: Cross multiply
    376,335x = 814,011 × 814,011
  4. Step 4: Simplify right side
    376,335x = 662,613,908,121
  5. Step 5: Solve for x
    x = 662,613,908,121/376,335
  6. Step 6: Final answer
    x = 1,760,702.32

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.