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Finding the Third Proportional to 347,568 and 812,026.50

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Solution

The third proportional to 347,568 and 812,026.50 is: 1,897,145.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,568 : 812,026.50 = 812,026.50 : x
  2. Step 2: Convert to fraction form
    347,568/812,026.50 = 812,026.50/x
  3. Step 3: Cross multiply
    347,568x = 812,026.50 × 812,026.50
  4. Step 4: Simplify right side
    347,568x = 659,387,036,702.25
  5. Step 5: Solve for x
    x = 659,387,036,702.25/347,568
  6. Step 6: Final answer
    x = 1,897,145.41

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.