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Finding the Third Proportional to 221,097 and 473,737

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Solution

The third proportional to 221,097 and 473,737 is: 1,015,060.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,097 : 473,737 = 473,737 : x
  2. Step 2: Convert to fraction form
    221,097/473,737 = 473,737/x
  3. Step 3: Cross multiply
    221,097x = 473,737 × 473,737
  4. Step 4: Simplify right side
    221,097x = 224,426,745,169
  5. Step 5: Solve for x
    x = 224,426,745,169/221,097
  6. Step 6: Final answer
    x = 1,015,060.11

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Why These Related Problems?

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