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Finding the Third Proportional to 482,884 and 710,310

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Solution

The third proportional to 482,884 and 710,310 is: 1,044,847.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,884 : 710,310 = 710,310 : x
  2. Step 2: Convert to fraction form
    482,884/710,310 = 710,310/x
  3. Step 3: Cross multiply
    482,884x = 710,310 × 710,310
  4. Step 4: Simplify right side
    482,884x = 504,540,296,100
  5. Step 5: Solve for x
    x = 504,540,296,100/482,884
  6. Step 6: Final answer
    x = 1,044,847.82

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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.