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Finding the Third Proportional to 340,014 and 499,653

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Solution

The third proportional to 340,014 and 499,653 is: 734,243.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,014 : 499,653 = 499,653 : x
  2. Step 2: Convert to fraction form
    340,014/499,653 = 499,653/x
  3. Step 3: Cross multiply
    340,014x = 499,653 × 499,653
  4. Step 4: Simplify right side
    340,014x = 249,653,120,409
  5. Step 5: Solve for x
    x = 249,653,120,409/340,014
  6. Step 6: Final answer
    x = 734,243.65

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.