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Finding the Third Proportional to 376,364 and 807,304

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Solution

The third proportional to 376,364 and 807,304 is: 1,731,673.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,364 : 807,304 = 807,304 : x
  2. Step 2: Convert to fraction form
    376,364/807,304 = 807,304/x
  3. Step 3: Cross multiply
    376,364x = 807,304 × 807,304
  4. Step 4: Simplify right side
    376,364x = 651,739,748,416
  5. Step 5: Solve for x
    x = 651,739,748,416/376,364
  6. Step 6: Final answer
    x = 1,731,673.99

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.