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Finding the Third Proportional to 316,699 and 475,464

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Solution

The third proportional to 316,699 and 475,464 is: 713,819.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,699 : 475,464 = 475,464 : x
  2. Step 2: Convert to fraction form
    316,699/475,464 = 475,464/x
  3. Step 3: Cross multiply
    316,699x = 475,464 × 475,464
  4. Step 4: Simplify right side
    316,699x = 226,066,015,296
  5. Step 5: Solve for x
    x = 226,066,015,296/316,699
  6. Step 6: Final answer
    x = 713,819.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.