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Finding the Third Proportional to 608,363.16 and 1,408,319.16

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Solution

The third proportional to 608,363.16 and 1,408,319.16 is: 3,260,162.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    608,363.16 : 1,408,319.16 = 1,408,319.16 : x
  2. Step 2: Convert to fraction form
    608,363.16/1,408,319.16 = 1,408,319.16/x
  3. Step 3: Cross multiply
    608,363.16x = 1,408,319.16 × 1,408,319.16
  4. Step 4: Simplify right side
    608,363.16x = 1,983,362,845,860.71
  5. Step 5: Solve for x
    x = 1,983,362,845,860.71/608,363.16
  6. Step 6: Final answer
    x = 3,260,162.66

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.