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Finding the Third Proportional to 333,056 and 507,876

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Solution

The third proportional to 333,056 and 507,876 is: 774,458.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,056 : 507,876 = 507,876 : x
  2. Step 2: Convert to fraction form
    333,056/507,876 = 507,876/x
  3. Step 3: Cross multiply
    333,056x = 507,876 × 507,876
  4. Step 4: Simplify right side
    333,056x = 257,938,031,376
  5. Step 5: Solve for x
    x = 257,938,031,376/333,056
  6. Step 6: Final answer
    x = 774,458.44

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.