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Finding the Third Proportional to 304,897.50 and 452,925

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Solution

The third proportional to 304,897.50 and 452,925 is: 672,819.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,897.50 : 452,925 = 452,925 : x
  2. Step 2: Convert to fraction form
    304,897.50/452,925 = 452,925/x
  3. Step 3: Cross multiply
    304,897.50x = 452,925 × 452,925
  4. Step 4: Simplify right side
    304,897.50x = 205,141,055,625
  5. Step 5: Solve for x
    x = 205,141,055,625/304,897.50
  6. Step 6: Final answer
    x = 672,819.74

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.