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Finding the Third Proportional to 416,190 and 913,389.50

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Solution

The third proportional to 416,190 and 913,389.50 is: 2,004,566.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,190 : 913,389.50 = 913,389.50 : x
  2. Step 2: Convert to fraction form
    416,190/913,389.50 = 913,389.50/x
  3. Step 3: Cross multiply
    416,190x = 913,389.50 × 913,389.50
  4. Step 4: Simplify right side
    416,190x = 834,280,378,710.25
  5. Step 5: Solve for x
    x = 834,280,378,710.25/416,190
  6. Step 6: Final answer
    x = 2,004,566.13

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.