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Finding the Third Proportional to 333,054 and 507,873

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Solution

The third proportional to 333,054 and 507,873 is: 774,453.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,054 : 507,873 = 507,873 : x
  2. Step 2: Convert to fraction form
    333,054/507,873 = 507,873/x
  3. Step 3: Cross multiply
    333,054x = 507,873 × 507,873
  4. Step 4: Simplify right side
    333,054x = 257,934,984,129
  5. Step 5: Solve for x
    x = 257,934,984,129/333,054
  6. Step 6: Final answer
    x = 774,453.94

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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.