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Finding the Third Proportional to 403,503.50 and 604,480.50

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Solution

The third proportional to 403,503.50 and 604,480.50 is: 905,560.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,503.50 : 604,480.50 = 604,480.50 : x
  2. Step 2: Convert to fraction form
    403,503.50/604,480.50 = 604,480.50/x
  3. Step 3: Cross multiply
    403,503.50x = 604,480.50 × 604,480.50
  4. Step 4: Simplify right side
    403,503.50x = 365,396,674,880.25
  5. Step 5: Solve for x
    x = 365,396,674,880.25/403,503.50
  6. Step 6: Final answer
    x = 905,560.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.