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Finding the Third Proportional to 407,304 and 894,304

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Solution

The third proportional to 407,304 and 894,304 is: 1,963,593.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,304 : 894,304 = 894,304 : x
  2. Step 2: Convert to fraction form
    407,304/894,304 = 894,304/x
  3. Step 3: Cross multiply
    407,304x = 894,304 × 894,304
  4. Step 4: Simplify right side
    407,304x = 799,779,644,416
  5. Step 5: Solve for x
    x = 799,779,644,416/407,304
  6. Step 6: Final answer
    x = 1,963,593.89

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.