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Finding the Third Proportional to 234,807.25 and 507,900.25

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Solution

The third proportional to 234,807.25 and 507,900.25 is: 1,098,614.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,807.25 : 507,900.25 = 507,900.25 : x
  2. Step 2: Convert to fraction form
    234,807.25/507,900.25 = 507,900.25/x
  3. Step 3: Cross multiply
    234,807.25x = 507,900.25 × 507,900.25
  4. Step 4: Simplify right side
    234,807.25x = 257,962,663,950.06
  5. Step 5: Solve for x
    x = 257,962,663,950.06/234,807.25
  6. Step 6: Final answer
    x = 1,098,614.56

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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.