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Finding the Third Proportional to 333,160 and 487,299

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Solution

The third proportional to 333,160 and 487,299 is: 712,751.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,160 : 487,299 = 487,299 : x
  2. Step 2: Convert to fraction form
    333,160/487,299 = 487,299/x
  3. Step 3: Cross multiply
    333,160x = 487,299 × 487,299
  4. Step 4: Simplify right side
    333,160x = 237,460,315,401
  5. Step 5: Solve for x
    x = 237,460,315,401/333,160
  6. Step 6: Final answer
    x = 712,751.58

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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.