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Finding the Third Proportional to 228,478.50 and 319,411.50

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Solution

The third proportional to 228,478.50 and 319,411.50 is: 446,535.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,478.50 : 319,411.50 = 319,411.50 : x
  2. Step 2: Convert to fraction form
    228,478.50/319,411.50 = 319,411.50/x
  3. Step 3: Cross multiply
    228,478.50x = 319,411.50 × 319,411.50
  4. Step 4: Simplify right side
    228,478.50x = 102,023,706,332.25
  5. Step 5: Solve for x
    x = 102,023,706,332.25/228,478.50
  6. Step 6: Final answer
    x = 446,535.26

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.