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Finding the Third Proportional to 346,978 and 756,830

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Solution

The third proportional to 346,978 and 756,830 is: 1,650,801.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,978 : 756,830 = 756,830 : x
  2. Step 2: Convert to fraction form
    346,978/756,830 = 756,830/x
  3. Step 3: Cross multiply
    346,978x = 756,830 × 756,830
  4. Step 4: Simplify right side
    346,978x = 572,791,648,900
  5. Step 5: Solve for x
    x = 572,791,648,900/346,978
  6. Step 6: Final answer
    x = 1,650,801.06

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.