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Finding the Third Proportional to 443,088 and 960,960

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Solution

The third proportional to 443,088 and 960,960 is: 2,084,109.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,088 : 960,960 = 960,960 : x
  2. Step 2: Convert to fraction form
    443,088/960,960 = 960,960/x
  3. Step 3: Cross multiply
    443,088x = 960,960 × 960,960
  4. Step 4: Simplify right side
    443,088x = 923,444,121,600
  5. Step 5: Solve for x
    x = 923,444,121,600/443,088
  6. Step 6: Final answer
    x = 2,084,109.98

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.