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Finding the Third Proportional to 392,719,835.13 and 585,674,132.25

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Solution

The third proportional to 392,719,835.13 and 585,674,132.25 is: 873,432,300.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,719,835.13 : 585,674,132.25 = 585,674,132.25 : x
  2. Step 2: Convert to fraction form
    392,719,835.13/585,674,132.25 = 585,674,132.25/x
  3. Step 3: Cross multiply
    392,719,835.13x = 585,674,132.25 × 585,674,132.25
  4. Step 4: Simplify right side
    392,719,835.13x = 343,014,189,186,790,464
  5. Step 5: Solve for x
    x = 343,014,189,186,790,464/392,719,835.13
  6. Step 6: Final answer
    x = 873,432,300.86

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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.