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Finding the Third Proportional to 285,216.19 and 610,922.25

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Solution

The third proportional to 285,216.19 and 610,922.25 is: 1,308,572.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,216.19 : 610,922.25 = 610,922.25 : x
  2. Step 2: Convert to fraction form
    285,216.19/610,922.25 = 610,922.25/x
  3. Step 3: Cross multiply
    285,216.19x = 610,922.25 × 610,922.25
  4. Step 4: Simplify right side
    285,216.19x = 373,225,995,545.06
  5. Step 5: Solve for x
    x = 373,225,995,545.06/285,216.19
  6. Step 6: Final answer
    x = 1,308,572.28

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.