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Finding the Third Proportional to 234,808 and 507,901

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Solution

The third proportional to 234,808 and 507,901 is: 1,098,614.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,808 : 507,901 = 507,901 : x
  2. Step 2: Convert to fraction form
    234,808/507,901 = 507,901/x
  3. Step 3: Cross multiply
    234,808x = 507,901 × 507,901
  4. Step 4: Simplify right side
    234,808x = 257,963,425,801
  5. Step 5: Solve for x
    x = 257,963,425,801/234,808
  6. Step 6: Final answer
    x = 1,098,614.30

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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.