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Finding the Third Proportional to 404,595 and 872,293.50

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Solution

The third proportional to 404,595 and 872,293.50 is: 1,880,636.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,595 : 872,293.50 = 872,293.50 : x
  2. Step 2: Convert to fraction form
    404,595/872,293.50 = 872,293.50/x
  3. Step 3: Cross multiply
    404,595x = 872,293.50 × 872,293.50
  4. Step 4: Simplify right side
    404,595x = 760,895,950,142.25
  5. Step 5: Solve for x
    x = 760,895,950,142.25/404,595
  6. Step 6: Final answer
    x = 1,880,636.07

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.