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Finding the Third Proportional to 234,712 and 506,834

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Solution

The third proportional to 234,712 and 506,834 is: 1,094,450.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,712 : 506,834 = 506,834 : x
  2. Step 2: Convert to fraction form
    234,712/506,834 = 506,834/x
  3. Step 3: Cross multiply
    234,712x = 506,834 × 506,834
  4. Step 4: Simplify right side
    234,712x = 256,880,703,556
  5. Step 5: Solve for x
    x = 256,880,703,556/234,712
  6. Step 6: Final answer
    x = 1,094,450.66

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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.