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Finding the Third Proportional to 355,496 and 761,022

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Solution

The third proportional to 355,496 and 761,022 is: 1,629,144.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,496 : 761,022 = 761,022 : x
  2. Step 2: Convert to fraction form
    355,496/761,022 = 761,022/x
  3. Step 3: Cross multiply
    355,496x = 761,022 × 761,022
  4. Step 4: Simplify right side
    355,496x = 579,154,484,484
  5. Step 5: Solve for x
    x = 579,154,484,484/355,496
  6. Step 6: Final answer
    x = 1,629,144.87

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.