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Finding the Third Proportional to 437,144.50 and 695,101

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Solution

The third proportional to 437,144.50 and 695,101 is: 1,105,276.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,144.50 : 695,101 = 695,101 : x
  2. Step 2: Convert to fraction form
    437,144.50/695,101 = 695,101/x
  3. Step 3: Cross multiply
    437,144.50x = 695,101 × 695,101
  4. Step 4: Simplify right side
    437,144.50x = 483,165,400,201
  5. Step 5: Solve for x
    x = 483,165,400,201/437,144.50
  6. Step 6: Final answer
    x = 1,105,276.17

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.