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Finding the Third Proportional to 346,188.38 and 719,896.50

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Solution

The third proportional to 346,188.38 and 719,896.50 is: 1,497,020.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,188.38 : 719,896.50 = 719,896.50 : x
  2. Step 2: Convert to fraction form
    346,188.38/719,896.50 = 719,896.50/x
  3. Step 3: Cross multiply
    346,188.38x = 719,896.50 × 719,896.50
  4. Step 4: Simplify right side
    346,188.38x = 518,250,970,712.25
  5. Step 5: Solve for x
    x = 518,250,970,712.25/346,188.38
  6. Step 6: Final answer
    x = 1,497,020.14

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.