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Finding the Third Proportional to 484,096 and 710,592

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Solution

The third proportional to 484,096 and 710,592 is: 1,043,059.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,096 : 710,592 = 710,592 : x
  2. Step 2: Convert to fraction form
    484,096/710,592 = 710,592/x
  3. Step 3: Cross multiply
    484,096x = 710,592 × 710,592
  4. Step 4: Simplify right side
    484,096x = 504,940,990,464
  5. Step 5: Solve for x
    x = 504,940,990,464/484,096
  6. Step 6: Final answer
    x = 1,043,059.62

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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.