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Finding the Third Proportional to 293,985.84 and 623,296.13

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Solution

The third proportional to 293,985.84 and 623,296.13 is: 1,321,485.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,985.84 : 623,296.13 = 623,296.13 : x
  2. Step 2: Convert to fraction form
    293,985.84/623,296.13 = 623,296.13/x
  3. Step 3: Cross multiply
    293,985.84x = 623,296.13 × 623,296.13
  4. Step 4: Simplify right side
    293,985.84x = 388,498,059,440.02
  5. Step 5: Solve for x
    x = 388,498,059,440.02/293,985.84
  6. Step 6: Final answer
    x = 1,321,485.60

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.