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Finding the Third Proportional to 362,830 and 788,634

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Solution

The third proportional to 362,830 and 788,634 is: 1,714,145.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,830 : 788,634 = 788,634 : x
  2. Step 2: Convert to fraction form
    362,830/788,634 = 788,634/x
  3. Step 3: Cross multiply
    362,830x = 788,634 × 788,634
  4. Step 4: Simplify right side
    362,830x = 621,943,585,956
  5. Step 5: Solve for x
    x = 621,943,585,956/362,830
  6. Step 6: Final answer
    x = 1,714,145.98

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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.