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Finding the Third Proportional to 211,413.80 and 460,985.24

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Solution

The third proportional to 211,413.80 and 460,985.24 is: 1,005,172.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,413.80 : 460,985.24 = 460,985.24 : x
  2. Step 2: Convert to fraction form
    211,413.80/460,985.24 = 460,985.24/x
  3. Step 3: Cross multiply
    211,413.80x = 460,985.24 × 460,985.24
  4. Step 4: Simplify right side
    211,413.80x = 212,507,389,913.22
  5. Step 5: Solve for x
    x = 212,507,389,913.22/211,413.80
  6. Step 6: Final answer
    x = 1,005,172.76

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.