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Finding the Third Proportional to 211,288 and 460,484

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Solution

The third proportional to 211,288 and 460,484 is: 1,003,585.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,288 : 460,484 = 460,484 : x
  2. Step 2: Convert to fraction form
    211,288/460,484 = 460,484/x
  3. Step 3: Cross multiply
    211,288x = 460,484 × 460,484
  4. Step 4: Simplify right side
    211,288x = 212,045,514,256
  5. Step 5: Solve for x
    x = 212,045,514,256/211,288
  6. Step 6: Final answer
    x = 1,003,585.22

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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.