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Finding the Third Proportional to 221,070.94 and 473,684.63

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Solution

The third proportional to 221,070.94 and 473,684.63 is: 1,014,955.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,070.94 : 473,684.63 = 473,684.63 : x
  2. Step 2: Convert to fraction form
    221,070.94/473,684.63 = 473,684.63/x
  3. Step 3: Cross multiply
    221,070.94x = 473,684.63 × 473,684.63
  4. Step 4: Simplify right side
    221,070.94x = 224,377,123,961.39
  5. Step 5: Solve for x
    x = 224,377,123,961.39/221,070.94
  6. Step 6: Final answer
    x = 1,014,955.32

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.