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Finding the Third Proportional to 234,705.50 and 506,823

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Solution

The third proportional to 234,705.50 and 506,823 is: 1,094,433.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,705.50 : 506,823 = 506,823 : x
  2. Step 2: Convert to fraction form
    234,705.50/506,823 = 506,823/x
  3. Step 3: Cross multiply
    234,705.50x = 506,823 × 506,823
  4. Step 4: Simplify right side
    234,705.50x = 256,869,553,329
  5. Step 5: Solve for x
    x = 256,869,553,329/234,705.50
  6. Step 6: Final answer
    x = 1,094,433.46

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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.