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Finding the Third Proportional to 459,022.50 and 609,799.50

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Solution

The third proportional to 459,022.50 and 609,799.50 is: 810,102.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,022.50 : 609,799.50 = 609,799.50 : x
  2. Step 2: Convert to fraction form
    459,022.50/609,799.50 = 609,799.50/x
  3. Step 3: Cross multiply
    459,022.50x = 609,799.50 × 609,799.50
  4. Step 4: Simplify right side
    459,022.50x = 371,855,430,200.25
  5. Step 5: Solve for x
    x = 371,855,430,200.25/459,022.50
  6. Step 6: Final answer
    x = 810,102.84

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.