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Finding the Third Proportional to 306,834 and 634,972

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Solution

The third proportional to 306,834 and 634,972 is: 1,314,031.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,834 : 634,972 = 634,972 : x
  2. Step 2: Convert to fraction form
    306,834/634,972 = 634,972/x
  3. Step 3: Cross multiply
    306,834x = 634,972 × 634,972
  4. Step 4: Simplify right side
    306,834x = 403,189,440,784
  5. Step 5: Solve for x
    x = 403,189,440,784/306,834
  6. Step 6: Final answer
    x = 1,314,031.17

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.