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Finding the Third Proportional to 362,189 and 786,708

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Solution

The third proportional to 362,189 and 786,708 is: 1,708,802.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,189 : 786,708 = 786,708 : x
  2. Step 2: Convert to fraction form
    362,189/786,708 = 786,708/x
  3. Step 3: Cross multiply
    362,189x = 786,708 × 786,708
  4. Step 4: Simplify right side
    362,189x = 618,909,477,264
  5. Step 5: Solve for x
    x = 618,909,477,264/362,189
  6. Step 6: Final answer
    x = 1,708,802.52

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.