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Finding the Third Proportional to 340,130 and 741,500

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Solution

The third proportional to 340,130 and 741,500 is: 1,616,506.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,130 : 741,500 = 741,500 : x
  2. Step 2: Convert to fraction form
    340,130/741,500 = 741,500/x
  3. Step 3: Cross multiply
    340,130x = 741,500 × 741,500
  4. Step 4: Simplify right side
    340,130x = 549,822,250,000
  5. Step 5: Solve for x
    x = 549,822,250,000/340,130
  6. Step 6: Final answer
    x = 1,616,506.19

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.