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Finding the Third Proportional to 700,975.50 and 1,050,275.25

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Solution

The third proportional to 700,975.50 and 1,050,275.25 is: 1,573,632.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    700,975.50 : 1,050,275.25 = 1,050,275.25 : x
  2. Step 2: Convert to fraction form
    700,975.50/1,050,275.25 = 1,050,275.25/x
  3. Step 3: Cross multiply
    700,975.50x = 1,050,275.25 × 1,050,275.25
  4. Step 4: Simplify right side
    700,975.50x = 1,103,078,100,762.56
  5. Step 5: Solve for x
    x = 1,103,078,100,762.56/700,975.50
  6. Step 6: Final answer
    x = 1,573,632.89

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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.