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Finding the Third Proportional to 829,795.50 and 1,252,323

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Solution

The third proportional to 829,795.50 and 1,252,323 is: 1,889,999.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    829,795.50 : 1,252,323 = 1,252,323 : x
  2. Step 2: Convert to fraction form
    829,795.50/1,252,323 = 1,252,323/x
  3. Step 3: Cross multiply
    829,795.50x = 1,252,323 × 1,252,323
  4. Step 4: Simplify right side
    829,795.50x = 1,568,312,896,329
  5. Step 5: Solve for x
    x = 1,568,312,896,329/829,795.50
  6. Step 6: Final answer
    x = 1,889,999.28

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.