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Finding the Third Proportional to 594,746.63 and 892,302.38

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Solution

The third proportional to 594,746.63 and 892,302.38 is: 1,338,727.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,746.63 : 892,302.38 = 892,302.38 : x
  2. Step 2: Convert to fraction form
    594,746.63/892,302.38 = 892,302.38/x
  3. Step 3: Cross multiply
    594,746.63x = 892,302.38 × 892,302.38
  4. Step 4: Simplify right side
    594,746.63x = 796,203,528,430.64
  5. Step 5: Solve for x
    x = 796,203,528,430.64/594,746.63
  6. Step 6: Final answer
    x = 1,338,727.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.