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Finding the Third Proportional to 309,541.66 and 677,705.17

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Solution

The third proportional to 309,541.66 and 677,705.17 is: 1,483,756.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,541.66 : 677,705.17 = 677,705.17 : x
  2. Step 2: Convert to fraction form
    309,541.66/677,705.17 = 677,705.17/x
  3. Step 3: Cross multiply
    309,541.66x = 677,705.17 × 677,705.17
  4. Step 4: Simplify right side
    309,541.66x = 459,284,294,691.55
  5. Step 5: Solve for x
    x = 459,284,294,691.55/309,541.66
  6. Step 6: Final answer
    x = 1,483,756.01

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Why These Related Problems?

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