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Finding the Third Proportional to 316,603.69 and 693,442.69

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Solution

The third proportional to 316,603.69 and 693,442.69 is: 1,518,816.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,603.69 : 693,442.69 = 693,442.69 : x
  2. Step 2: Convert to fraction form
    316,603.69/693,442.69 = 693,442.69/x
  3. Step 3: Cross multiply
    316,603.69x = 693,442.69 × 693,442.69
  4. Step 4: Simplify right side
    316,603.69x = 480,862,760,847.22
  5. Step 5: Solve for x
    x = 480,862,760,847.22/316,603.69
  6. Step 6: Final answer
    x = 1,518,816.05

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