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Finding the Third Proportional to 333,346 and 508,220

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Solution

The third proportional to 333,346 and 508,220 is: 774,833.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,346 : 508,220 = 508,220 : x
  2. Step 2: Convert to fraction form
    333,346/508,220 = 508,220/x
  3. Step 3: Cross multiply
    333,346x = 508,220 × 508,220
  4. Step 4: Simplify right side
    333,346x = 258,287,568,400
  5. Step 5: Solve for x
    x = 258,287,568,400/333,346
  6. Step 6: Final answer
    x = 774,833.26

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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.