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Finding the Third Proportional to 393,602.63 and 822,156.75

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Solution

The third proportional to 393,602.63 and 822,156.75 is: 1,717,320.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,602.63 : 822,156.75 = 822,156.75 : x
  2. Step 2: Convert to fraction form
    393,602.63/822,156.75 = 822,156.75/x
  3. Step 3: Cross multiply
    393,602.63x = 822,156.75 × 822,156.75
  4. Step 4: Simplify right side
    393,602.63x = 675,941,721,570.56
  5. Step 5: Solve for x
    x = 675,941,721,570.56/393,602.63
  6. Step 6: Final answer
    x = 1,717,320.16

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.