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Finding the Third Proportional to 317,054 and 660,298

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Solution

The third proportional to 317,054 and 660,298 is: 1,375,139.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,054 : 660,298 = 660,298 : x
  2. Step 2: Convert to fraction form
    317,054/660,298 = 660,298/x
  3. Step 3: Cross multiply
    317,054x = 660,298 × 660,298
  4. Step 4: Simplify right side
    317,054x = 435,993,448,804
  5. Step 5: Solve for x
    x = 435,993,448,804/317,054
  6. Step 6: Final answer
    x = 1,375,139.40

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.