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Finding the Third Proportional to 261,460.41 and 554,313.38

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Solution

The third proportional to 261,460.41 and 554,313.38 is: 1,175,181.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,460.41 : 554,313.38 = 554,313.38 : x
  2. Step 2: Convert to fraction form
    261,460.41/554,313.38 = 554,313.38/x
  3. Step 3: Cross multiply
    261,460.41x = 554,313.38 × 554,313.38
  4. Step 4: Simplify right side
    261,460.41x = 307,263,317,703.89
  5. Step 5: Solve for x
    x = 307,263,317,703.89/261,460.41
  6. Step 6: Final answer
    x = 1,175,181.06

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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.