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Finding the Third Proportional to 333,430 and 508,314

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Solution

The third proportional to 333,430 and 508,314 is: 774,924.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,430 : 508,314 = 508,314 : x
  2. Step 2: Convert to fraction form
    333,430/508,314 = 508,314/x
  3. Step 3: Cross multiply
    333,430x = 508,314 × 508,314
  4. Step 4: Simplify right side
    333,430x = 258,383,122,596
  5. Step 5: Solve for x
    x = 258,383,122,596/333,430
  6. Step 6: Final answer
    x = 774,924.64

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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.