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Finding the Third Proportional to 265,946 and 576,200

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Solution

The third proportional to 265,946 and 576,200 is: 1,248,397.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,946 : 576,200 = 576,200 : x
  2. Step 2: Convert to fraction form
    265,946/576,200 = 576,200/x
  3. Step 3: Cross multiply
    265,946x = 576,200 × 576,200
  4. Step 4: Simplify right side
    265,946x = 332,006,440,000
  5. Step 5: Solve for x
    x = 332,006,440,000/265,946
  6. Step 6: Final answer
    x = 1,248,397.95

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.