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Finding the Third Proportional to 296,671 and 460,221

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Solution

The third proportional to 296,671 and 460,221 is: 713,933.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,671 : 460,221 = 460,221 : x
  2. Step 2: Convert to fraction form
    296,671/460,221 = 460,221/x
  3. Step 3: Cross multiply
    296,671x = 460,221 × 460,221
  4. Step 4: Simplify right side
    296,671x = 211,803,368,841
  5. Step 5: Solve for x
    x = 211,803,368,841/296,671
  6. Step 6: Final answer
    x = 713,933.51

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.