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Finding the Third Proportional to 392,719,835 and 585,674,132

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Solution

The third proportional to 392,719,835 and 585,674,132 is: 873,432,300.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,719,835 : 585,674,132 = 585,674,132 : x
  2. Step 2: Convert to fraction form
    392,719,835/585,674,132 = 585,674,132/x
  3. Step 3: Cross multiply
    392,719,835x = 585,674,132 × 585,674,132
  4. Step 4: Simplify right side
    392,719,835x = 343,014,188,893,953,408
  5. Step 5: Solve for x
    x = 343,014,188,893,953,408/392,719,835
  6. Step 6: Final answer
    x = 873,432,300.39

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.