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Finding the Third Proportional to 302,172 and 453,258

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Solution

The third proportional to 302,172 and 453,258 is: 679,887

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,172 : 453,258 = 453,258 : x
  2. Step 2: Convert to fraction form
    302,172/453,258 = 453,258/x
  3. Step 3: Cross multiply
    302,172x = 453,258 × 453,258
  4. Step 4: Simplify right side
    302,172x = 205,442,814,564
  5. Step 5: Solve for x
    x = 205,442,814,564/302,172
  6. Step 6: Final answer
    x = 679,887

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.