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Finding the Third Proportional to 563,098.50 and 1,328,686.50

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Solution

The third proportional to 563,098.50 and 1,328,686.50 is: 3,135,166.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,098.50 : 1,328,686.50 = 1,328,686.50 : x
  2. Step 2: Convert to fraction form
    563,098.50/1,328,686.50 = 1,328,686.50/x
  3. Step 3: Cross multiply
    563,098.50x = 1,328,686.50 × 1,328,686.50
  4. Step 4: Simplify right side
    563,098.50x = 1,765,407,815,282.25
  5. Step 5: Solve for x
    x = 1,765,407,815,282.25/563,098.50
  6. Step 6: Final answer
    x = 3,135,166.97

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.