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Finding the Third Proportional to 437,146.50 and 695,104.50

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Solution

The third proportional to 437,146.50 and 695,104.50 is: 1,105,282.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,146.50 : 695,104.50 = 695,104.50 : x
  2. Step 2: Convert to fraction form
    437,146.50/695,104.50 = 695,104.50/x
  3. Step 3: Cross multiply
    437,146.50x = 695,104.50 × 695,104.50
  4. Step 4: Simplify right side
    437,146.50x = 483,170,265,920.25
  5. Step 5: Solve for x
    x = 483,170,265,920.25/437,146.50
  6. Step 6: Final answer
    x = 1,105,282.25

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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.