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Finding the Third Proportional to 383,948.44 and 837,880.88

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Solution

The third proportional to 383,948.44 and 837,880.88 is: 1,828,486.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,948.44 : 837,880.88 = 837,880.88 : x
  2. Step 2: Convert to fraction form
    383,948.44/837,880.88 = 837,880.88/x
  3. Step 3: Cross multiply
    383,948.44x = 837,880.88 × 837,880.88
  4. Step 4: Simplify right side
    383,948.44x = 702,044,360,690.77
  5. Step 5: Solve for x
    x = 702,044,360,690.77/383,948.44
  6. Step 6: Final answer
    x = 1,828,486.05

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.