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Finding the Third Proportional to 816,358.50 and 1,723,477.50

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Solution

The third proportional to 816,358.50 and 1,723,477.50 is: 3,638,566.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    816,358.50 : 1,723,477.50 = 1,723,477.50 : x
  2. Step 2: Convert to fraction form
    816,358.50/1,723,477.50 = 1,723,477.50/x
  3. Step 3: Cross multiply
    816,358.50x = 1,723,477.50 × 1,723,477.50
  4. Step 4: Simplify right side
    816,358.50x = 2,970,374,693,006.25
  5. Step 5: Solve for x
    x = 2,970,374,693,006.25/816,358.50
  6. Step 6: Final answer
    x = 3,638,566.50

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.