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Finding the Third Proportional to 391,566 and 623,064

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Solution

The third proportional to 391,566 and 623,064 is: 991,426.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,566 : 623,064 = 623,064 : x
  2. Step 2: Convert to fraction form
    391,566/623,064 = 623,064/x
  3. Step 3: Cross multiply
    391,566x = 623,064 × 623,064
  4. Step 4: Simplify right side
    391,566x = 388,208,748,096
  5. Step 5: Solve for x
    x = 388,208,748,096/391,566
  6. Step 6: Final answer
    x = 991,426.09

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.