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Finding the Third Proportional to 398,355 and 609,652.50

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Solution

The third proportional to 398,355 and 609,652.50 is: 933,027.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,355 : 609,652.50 = 609,652.50 : x
  2. Step 2: Convert to fraction form
    398,355/609,652.50 = 609,652.50/x
  3. Step 3: Cross multiply
    398,355x = 609,652.50 × 609,652.50
  4. Step 4: Simplify right side
    398,355x = 371,676,170,756.25
  5. Step 5: Solve for x
    x = 371,676,170,756.25/398,355
  6. Step 6: Final answer
    x = 933,027.50

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.