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Finding the Third Proportional to 234,699 and 506,814

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Solution

The third proportional to 234,699 and 506,814 is: 1,094,424.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,699 : 506,814 = 506,814 : x
  2. Step 2: Convert to fraction form
    234,699/506,814 = 506,814/x
  3. Step 3: Cross multiply
    234,699x = 506,814 × 506,814
  4. Step 4: Simplify right side
    234,699x = 256,860,430,596
  5. Step 5: Solve for x
    x = 256,860,430,596/234,699
  6. Step 6: Final answer
    x = 1,094,424.90

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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.