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Finding the Third Proportional to 350,742 and 760,504

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Solution

The third proportional to 350,742 and 760,504 is: 1,648,979.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,742 : 760,504 = 760,504 : x
  2. Step 2: Convert to fraction form
    350,742/760,504 = 760,504/x
  3. Step 3: Cross multiply
    350,742x = 760,504 × 760,504
  4. Step 4: Simplify right side
    350,742x = 578,366,334,016
  5. Step 5: Solve for x
    x = 578,366,334,016/350,742
  6. Step 6: Final answer
    x = 1,648,979.40

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.