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Finding the Third Proportional to 304,884 and 459,573.75

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Solution

The third proportional to 304,884 and 459,573.75 is: 692,748.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,884 : 459,573.75 = 459,573.75 : x
  2. Step 2: Convert to fraction form
    304,884/459,573.75 = 459,573.75/x
  3. Step 3: Cross multiply
    304,884x = 459,573.75 × 459,573.75
  4. Step 4: Simplify right side
    304,884x = 211,208,031,689.06
  5. Step 5: Solve for x
    x = 211,208,031,689.06/304,884
  6. Step 6: Final answer
    x = 692,748.82

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.