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Finding the Third Proportional to 340,015 and 744,506

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Solution

The third proportional to 340,015 and 744,506 is: 1,630,190.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,015 : 744,506 = 744,506 : x
  2. Step 2: Convert to fraction form
    340,015/744,506 = 744,506/x
  3. Step 3: Cross multiply
    340,015x = 744,506 × 744,506
  4. Step 4: Simplify right side
    340,015x = 554,289,184,036
  5. Step 5: Solve for x
    x = 554,289,184,036/340,015
  6. Step 6: Final answer
    x = 1,630,190.39

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.