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Finding the Third Proportional to 350,700 and 767,022

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Solution

The third proportional to 350,700 and 767,022 is: 1,677,567.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,700 : 767,022 = 767,022 : x
  2. Step 2: Convert to fraction form
    350,700/767,022 = 767,022/x
  3. Step 3: Cross multiply
    350,700x = 767,022 × 767,022
  4. Step 4: Simplify right side
    350,700x = 588,322,748,484
  5. Step 5: Solve for x
    x = 588,322,748,484/350,700
  6. Step 6: Final answer
    x = 1,677,567.00

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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.