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Finding the Third Proportional to 354,709.13 and 509,920.31

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Solution

The third proportional to 354,709.13 and 509,920.31 is: 733,047.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,709.13 : 509,920.31 = 509,920.31 : x
  2. Step 2: Convert to fraction form
    354,709.13/509,920.31 = 509,920.31/x
  3. Step 3: Cross multiply
    354,709.13x = 509,920.31 × 509,920.31
  4. Step 4: Simplify right side
    354,709.13x = 260,018,725,100.10
  5. Step 5: Solve for x
    x = 260,018,725,100.10/354,709.13
  6. Step 6: Final answer
    x = 733,047.75

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.