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Finding the Third Proportional to 216,978.75 and 469,050.75

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Solution

The third proportional to 216,978.75 and 469,050.75 is: 1,013,963.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,978.75 : 469,050.75 = 469,050.75 : x
  2. Step 2: Convert to fraction form
    216,978.75/469,050.75 = 469,050.75/x
  3. Step 3: Cross multiply
    216,978.75x = 469,050.75 × 469,050.75
  4. Step 4: Simplify right side
    216,978.75x = 220,008,606,075.56
  5. Step 5: Solve for x
    x = 220,008,606,075.56/216,978.75
  6. Step 6: Final answer
    x = 1,013,963.84

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Why These Related Problems?

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