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Finding the Third Proportional to 701,007.75 and 1,050,328.13

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Solution

The third proportional to 701,007.75 and 1,050,328.13 is: 1,573,718.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    701,007.75 : 1,050,328.13 = 1,050,328.13 : x
  2. Step 2: Convert to fraction form
    701,007.75/1,050,328.13 = 1,050,328.13/x
  3. Step 3: Cross multiply
    701,007.75x = 1,050,328.13 × 1,050,328.13
  4. Step 4: Simplify right side
    701,007.75x = 1,103,189,170,166.02
  5. Step 5: Solve for x
    x = 1,103,189,170,166.02/701,007.75
  6. Step 6: Final answer
    x = 1,573,718.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.