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Finding the Third Proportional to 591,778 and 837,352

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Solution

The third proportional to 591,778 and 837,352 is: 1,184,833.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,778 : 837,352 = 837,352 : x
  2. Step 2: Convert to fraction form
    591,778/837,352 = 837,352/x
  3. Step 3: Cross multiply
    591,778x = 837,352 × 837,352
  4. Step 4: Simplify right side
    591,778x = 701,158,371,904
  5. Step 5: Solve for x
    x = 701,158,371,904/591,778
  6. Step 6: Final answer
    x = 1,184,833.45

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.