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Finding the Third Proportional to 402,080 and 837,232

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Solution

The third proportional to 402,080 and 837,232 is: 1,743,328.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,080 : 837,232 = 837,232 : x
  2. Step 2: Convert to fraction form
    402,080/837,232 = 837,232/x
  3. Step 3: Cross multiply
    402,080x = 837,232 × 837,232
  4. Step 4: Simplify right side
    402,080x = 700,957,421,824
  5. Step 5: Solve for x
    x = 700,957,421,824/402,080
  6. Step 6: Final answer
    x = 1,743,328.25

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.