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Finding the Third Proportional to 342,336.94 and 738,802.13

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Solution

The third proportional to 342,336.94 and 738,802.13 is: 1,594,419.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,336.94 : 738,802.13 = 738,802.13 : x
  2. Step 2: Convert to fraction form
    342,336.94/738,802.13 = 738,802.13/x
  3. Step 3: Cross multiply
    342,336.94x = 738,802.13 × 738,802.13
  4. Step 4: Simplify right side
    342,336.94x = 545,828,579,904.52
  5. Step 5: Solve for x
    x = 545,828,579,904.52/342,336.94
  6. Step 6: Final answer
    x = 1,594,419.18

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.