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Finding the Third Proportional to 346,772 and 757,048

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Solution

The third proportional to 346,772 and 757,048 is: 1,652,733.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,772 : 757,048 = 757,048 : x
  2. Step 2: Convert to fraction form
    346,772/757,048 = 757,048/x
  3. Step 3: Cross multiply
    346,772x = 757,048 × 757,048
  4. Step 4: Simplify right side
    346,772x = 573,121,674,304
  5. Step 5: Solve for x
    x = 573,121,674,304/346,772
  6. Step 6: Final answer
    x = 1,652,733.42

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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.