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Finding the Third Proportional to 347,559 and 812,004

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Solution

The third proportional to 347,559 and 812,004 is: 1,897,089.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,559 : 812,004 = 812,004 : x
  2. Step 2: Convert to fraction form
    347,559/812,004 = 812,004/x
  3. Step 3: Cross multiply
    347,559x = 812,004 × 812,004
  4. Step 4: Simplify right side
    347,559x = 659,350,496,016
  5. Step 5: Solve for x
    x = 659,350,496,016/347,559
  6. Step 6: Final answer
    x = 1,897,089.40

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Why These Related Problems?

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