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Finding the Third Proportional to 316,908 and 475,430

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Solution

The third proportional to 316,908 and 475,430 is: 713,247.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,908 : 475,430 = 475,430 : x
  2. Step 2: Convert to fraction form
    316,908/475,430 = 475,430/x
  3. Step 3: Cross multiply
    316,908x = 475,430 × 475,430
  4. Step 4: Simplify right side
    316,908x = 226,033,684,900
  5. Step 5: Solve for x
    x = 226,033,684,900/316,908
  6. Step 6: Final answer
    x = 713,247.01

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