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Finding the Third Proportional to 185,433 and 403,911

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Solution

The third proportional to 185,433 and 403,911 is: 879,800.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,433 : 403,911 = 403,911 : x
  2. Step 2: Convert to fraction form
    185,433/403,911 = 403,911/x
  3. Step 3: Cross multiply
    185,433x = 403,911 × 403,911
  4. Step 4: Simplify right side
    185,433x = 163,144,095,921
  5. Step 5: Solve for x
    x = 163,144,095,921/185,433
  6. Step 6: Final answer
    x = 879,800.77

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.