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Finding the Third Proportional to 236,848 and 507,464

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Solution

The third proportional to 236,848 and 507,464 is: 1,087,278.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,848 : 507,464 = 507,464 : x
  2. Step 2: Convert to fraction form
    236,848/507,464 = 507,464/x
  3. Step 3: Cross multiply
    236,848x = 507,464 × 507,464
  4. Step 4: Simplify right side
    236,848x = 257,519,711,296
  5. Step 5: Solve for x
    x = 257,519,711,296/236,848
  6. Step 6: Final answer
    x = 1,087,278.39

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.