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Finding the Third Proportional to 601,398 and 899,140.50

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Solution

The third proportional to 601,398 and 899,140.50 is: 1,344,290.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,398 : 899,140.50 = 899,140.50 : x
  2. Step 2: Convert to fraction form
    601,398/899,140.50 = 899,140.50/x
  3. Step 3: Cross multiply
    601,398x = 899,140.50 × 899,140.50
  4. Step 4: Simplify right side
    601,398x = 808,453,638,740.25
  5. Step 5: Solve for x
    x = 808,453,638,740.25/601,398
  6. Step 6: Final answer
    x = 1,344,290.53

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