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Finding the Third Proportional to 216,852.19 and 469,904.63

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Solution

The third proportional to 216,852.19 and 469,904.63 is: 1,018,252.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,852.19 : 469,904.63 = 469,904.63 : x
  2. Step 2: Convert to fraction form
    216,852.19/469,904.63 = 469,904.63/x
  3. Step 3: Cross multiply
    216,852.19x = 469,904.63 × 469,904.63
  4. Step 4: Simplify right side
    216,852.19x = 220,810,356,596.39
  5. Step 5: Solve for x
    x = 220,810,356,596.39/216,852.19
  6. Step 6: Final answer
    x = 1,018,252.84

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.