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Finding the Third Proportional to 346,698 and 486,796.50

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Solution

The third proportional to 346,698 and 486,796.50 is: 683,507.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,698 : 486,796.50 = 486,796.50 : x
  2. Step 2: Convert to fraction form
    346,698/486,796.50 = 486,796.50/x
  3. Step 3: Cross multiply
    346,698x = 486,796.50 × 486,796.50
  4. Step 4: Simplify right side
    346,698x = 236,970,832,412.25
  5. Step 5: Solve for x
    x = 236,970,832,412.25/346,698
  6. Step 6: Final answer
    x = 683,507.93

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.