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Finding the Third Proportional to 261,460.13 and 554,311.13

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Solution

The third proportional to 261,460.13 and 554,311.13 is: 1,175,172.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,460.13 : 554,311.13 = 554,311.13 : x
  2. Step 2: Convert to fraction form
    261,460.13/554,311.13 = 554,311.13/x
  3. Step 3: Cross multiply
    261,460.13x = 554,311.13 × 554,311.13
  4. Step 4: Simplify right side
    261,460.13x = 307,260,823,298.77
  5. Step 5: Solve for x
    x = 307,260,823,298.77/261,460.13
  6. Step 6: Final answer
    x = 1,175,172.79

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.