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Finding the Third Proportional to 228,428 and 526,466

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Solution

The third proportional to 228,428 and 526,466 is: 1,213,364.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,428 : 526,466 = 526,466 : x
  2. Step 2: Convert to fraction form
    228,428/526,466 = 526,466/x
  3. Step 3: Cross multiply
    228,428x = 526,466 × 526,466
  4. Step 4: Simplify right side
    228,428x = 277,166,449,156
  5. Step 5: Solve for x
    x = 277,166,449,156/228,428
  6. Step 6: Final answer
    x = 1,213,364.60

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.