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Finding the Third Proportional to 675,202.50 and 1,045,152

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Solution

The third proportional to 675,202.50 and 1,045,152 is: 1,617,800.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    675,202.50 : 1,045,152 = 1,045,152 : x
  2. Step 2: Convert to fraction form
    675,202.50/1,045,152 = 1,045,152/x
  3. Step 3: Cross multiply
    675,202.50x = 1,045,152 × 1,045,152
  4. Step 4: Simplify right side
    675,202.50x = 1,092,342,703,104
  5. Step 5: Solve for x
    x = 1,092,342,703,104/675,202.50
  6. Step 6: Final answer
    x = 1,617,800.15

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.