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Finding the Third Proportional to 383,958 and 837,897.75

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Solution

The third proportional to 383,958 and 837,897.75 is: 1,828,514.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,958 : 837,897.75 = 837,897.75 : x
  2. Step 2: Convert to fraction form
    383,958/837,897.75 = 837,897.75/x
  3. Step 3: Cross multiply
    383,958x = 837,897.75 × 837,897.75
  4. Step 4: Simplify right side
    383,958x = 702,072,639,455.06
  5. Step 5: Solve for x
    x = 702,072,639,455.06/383,958
  6. Step 6: Final answer
    x = 1,828,514.16

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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.