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Finding the Third Proportional to 304,893 and 459,586.50

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Solution

The third proportional to 304,893 and 459,586.50 is: 692,766.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,893 : 459,586.50 = 459,586.50 : x
  2. Step 2: Convert to fraction form
    304,893/459,586.50 = 459,586.50/x
  3. Step 3: Cross multiply
    304,893x = 459,586.50 × 459,586.50
  4. Step 4: Simplify right side
    304,893x = 211,219,750,982.25
  5. Step 5: Solve for x
    x = 211,219,750,982.25/304,893
  6. Step 6: Final answer
    x = 692,766.81

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Why These Related Problems?

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