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Finding the Third Proportional to 271,752 and 590,331

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Solution

The third proportional to 271,752 and 590,331 is: 1,282,385.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,752 : 590,331 = 590,331 : x
  2. Step 2: Convert to fraction form
    271,752/590,331 = 590,331/x
  3. Step 3: Cross multiply
    271,752x = 590,331 × 590,331
  4. Step 4: Simplify right side
    271,752x = 348,490,689,561
  5. Step 5: Solve for x
    x = 348,490,689,561/271,752
  6. Step 6: Final answer
    x = 1,282,385.00

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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.