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Finding the Third Proportional to 271,522 and 596,464

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Solution

The third proportional to 271,522 and 596,464 is: 1,310,278.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,522 : 596,464 = 596,464 : x
  2. Step 2: Convert to fraction form
    271,522/596,464 = 596,464/x
  3. Step 3: Cross multiply
    271,522x = 596,464 × 596,464
  4. Step 4: Simplify right side
    271,522x = 355,769,303,296
  5. Step 5: Solve for x
    x = 355,769,303,296/271,522
  6. Step 6: Final answer
    x = 1,310,278.00

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.