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Finding the Third Proportional to 346,764 and 757,032

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Solution

The third proportional to 346,764 and 757,032 is: 1,652,701.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,764 : 757,032 = 757,032 : x
  2. Step 2: Convert to fraction form
    346,764/757,032 = 757,032/x
  3. Step 3: Cross multiply
    346,764x = 757,032 × 757,032
  4. Step 4: Simplify right side
    346,764x = 573,097,449,024
  5. Step 5: Solve for x
    x = 573,097,449,024/346,764
  6. Step 6: Final answer
    x = 1,652,701.69

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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.