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Finding the Third Proportional to 668,290.50 and 1,559,398.50

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Solution

The third proportional to 668,290.50 and 1,559,398.50 is: 3,638,722.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    668,290.50 : 1,559,398.50 = 1,559,398.50 : x
  2. Step 2: Convert to fraction form
    668,290.50/1,559,398.50 = 1,559,398.50/x
  3. Step 3: Cross multiply
    668,290.50x = 1,559,398.50 × 1,559,398.50
  4. Step 4: Simplify right side
    668,290.50x = 2,431,723,681,802.25
  5. Step 5: Solve for x
    x = 2,431,723,681,802.25/668,290.50
  6. Step 6: Final answer
    x = 3,638,722.50

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These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.