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Finding the Third Proportional to 234,807 and 507,900

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Solution

The third proportional to 234,807 and 507,900 is: 1,098,614.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,807 : 507,900 = 507,900 : x
  2. Step 2: Convert to fraction form
    234,807/507,900 = 507,900/x
  3. Step 3: Cross multiply
    234,807x = 507,900 × 507,900
  4. Step 4: Simplify right side
    234,807x = 257,962,410,000
  5. Step 5: Solve for x
    x = 257,962,410,000/234,807
  6. Step 6: Final answer
    x = 1,098,614.65

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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.