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Finding the Third Proportional to 340,117 and 741,473

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Solution

The third proportional to 340,117 and 741,473 is: 1,616,450.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,117 : 741,473 = 741,473 : x
  2. Step 2: Convert to fraction form
    340,117/741,473 = 741,473/x
  3. Step 3: Cross multiply
    340,117x = 741,473 × 741,473
  4. Step 4: Simplify right side
    340,117x = 549,782,209,729
  5. Step 5: Solve for x
    x = 549,782,209,729/340,117
  6. Step 6: Final answer
    x = 1,616,450.25

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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.