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Finding the Third Proportional to 228,543 and 492,207

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Solution

The third proportional to 228,543 and 492,207 is: 1,060,053.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,543 : 492,207 = 492,207 : x
  2. Step 2: Convert to fraction form
    228,543/492,207 = 492,207/x
  3. Step 3: Cross multiply
    228,543x = 492,207 × 492,207
  4. Step 4: Simplify right side
    228,543x = 242,267,730,849
  5. Step 5: Solve for x
    x = 242,267,730,849/228,543
  6. Step 6: Final answer
    x = 1,060,053.17

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.