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Finding the Third Proportional to 356,955 and 779,022

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Solution

The third proportional to 356,955 and 779,022 is: 1,700,145.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,955 : 779,022 = 779,022 : x
  2. Step 2: Convert to fraction form
    356,955/779,022 = 779,022/x
  3. Step 3: Cross multiply
    356,955x = 779,022 × 779,022
  4. Step 4: Simplify right side
    356,955x = 606,875,276,484
  5. Step 5: Solve for x
    x = 606,875,276,484/356,955
  6. Step 6: Final answer
    x = 1,700,145.05

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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.