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Finding the Third Proportional to 391,564 and 623,058

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Solution

The third proportional to 391,564 and 623,058 is: 991,412.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,564 : 623,058 = 623,058 : x
  2. Step 2: Convert to fraction form
    391,564/623,058 = 623,058/x
  3. Step 3: Cross multiply
    391,564x = 623,058 × 623,058
  4. Step 4: Simplify right side
    391,564x = 388,201,271,364
  5. Step 5: Solve for x
    x = 388,201,271,364/391,564
  6. Step 6: Final answer
    x = 991,412.06

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