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Finding the Third Proportional to 344,585.81 and 790,916.06

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Solution

The third proportional to 344,585.81 and 790,916.06 is: 1,815,362.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,585.81 : 790,916.06 = 790,916.06 : x
  2. Step 2: Convert to fraction form
    344,585.81/790,916.06 = 790,916.06/x
  3. Step 3: Cross multiply
    344,585.81x = 790,916.06 × 790,916.06
  4. Step 4: Simplify right side
    344,585.81x = 625,548,217,920.50
  5. Step 5: Solve for x
    x = 625,548,217,920.50/344,585.81
  6. Step 6: Final answer
    x = 1,815,362.66

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.