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Finding the Third Proportional to 237,557 and 512,246

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Solution

The third proportional to 237,557 and 512,246 is: 1,104,560.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,557 : 512,246 = 512,246 : x
  2. Step 2: Convert to fraction form
    237,557/512,246 = 512,246/x
  3. Step 3: Cross multiply
    237,557x = 512,246 × 512,246
  4. Step 4: Simplify right side
    237,557x = 262,395,964,516
  5. Step 5: Solve for x
    x = 262,395,964,516/237,557
  6. Step 6: Final answer
    x = 1,104,560.02

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.