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Finding the Third Proportional to 333,056 and 507,927

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Solution

The third proportional to 333,056 and 507,927 is: 774,613.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,056 : 507,927 = 507,927 : x
  2. Step 2: Convert to fraction form
    333,056/507,927 = 507,927/x
  3. Step 3: Cross multiply
    333,056x = 507,927 × 507,927
  4. Step 4: Simplify right side
    333,056x = 257,989,837,329
  5. Step 5: Solve for x
    x = 257,989,837,329/333,056
  6. Step 6: Final answer
    x = 774,613.99

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.