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Finding the Third Proportional to 347,069 and 760,610

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Solution

The third proportional to 347,069 and 760,610 is: 1,666,894.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,069 : 760,610 = 760,610 : x
  2. Step 2: Convert to fraction form
    347,069/760,610 = 760,610/x
  3. Step 3: Cross multiply
    347,069x = 760,610 × 760,610
  4. Step 4: Simplify right side
    347,069x = 578,527,572,100
  5. Step 5: Solve for x
    x = 578,527,572,100/347,069
  6. Step 6: Final answer
    x = 1,666,894.98

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.