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Finding the Third Proportional to 291,672 and 382,996

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Solution

The third proportional to 291,672 and 382,996 is: 502,914.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,672 : 382,996 = 382,996 : x
  2. Step 2: Convert to fraction form
    291,672/382,996 = 382,996/x
  3. Step 3: Cross multiply
    291,672x = 382,996 × 382,996
  4. Step 4: Simplify right side
    291,672x = 146,685,936,016
  5. Step 5: Solve for x
    x = 146,685,936,016/291,672
  6. Step 6: Final answer
    x = 502,914.01

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.