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Finding the Third Proportional to 340,070 and 499,734

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Solution

The third proportional to 340,070 and 499,734 is: 734,360.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,070 : 499,734 = 499,734 : x
  2. Step 2: Convert to fraction form
    340,070/499,734 = 499,734/x
  3. Step 3: Cross multiply
    340,070x = 499,734 × 499,734
  4. Step 4: Simplify right side
    340,070x = 249,734,070,756
  5. Step 5: Solve for x
    x = 249,734,070,756/340,070
  6. Step 6: Final answer
    x = 734,360.78

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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.