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Finding the Third Proportional to 333,176 and 487,272

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Solution

The third proportional to 333,176 and 487,272 is: 712,638.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,176 : 487,272 = 487,272 : x
  2. Step 2: Convert to fraction form
    333,176/487,272 = 487,272/x
  3. Step 3: Cross multiply
    333,176x = 487,272 × 487,272
  4. Step 4: Simplify right side
    333,176x = 237,434,001,984
  5. Step 5: Solve for x
    x = 237,434,001,984/333,176
  6. Step 6: Final answer
    x = 712,638.37

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.