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Finding the Third Proportional to 448,950 and 660,295.50

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Solution

The third proportional to 448,950 and 660,295.50 is: 971,132.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,950 : 660,295.50 = 660,295.50 : x
  2. Step 2: Convert to fraction form
    448,950/660,295.50 = 660,295.50/x
  3. Step 3: Cross multiply
    448,950x = 660,295.50 × 660,295.50
  4. Step 4: Simplify right side
    448,950x = 435,990,147,320.25
  5. Step 5: Solve for x
    x = 435,990,147,320.25/448,950
  6. Step 6: Final answer
    x = 971,132.97

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.