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Finding the Third Proportional to 353,076 and 832,778

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Solution

The third proportional to 353,076 and 832,778 is: 1,964,220.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,076 : 832,778 = 832,778 : x
  2. Step 2: Convert to fraction form
    353,076/832,778 = 832,778/x
  3. Step 3: Cross multiply
    353,076x = 832,778 × 832,778
  4. Step 4: Simplify right side
    353,076x = 693,519,197,284
  5. Step 5: Solve for x
    x = 693,519,197,284/353,076
  6. Step 6: Final answer
    x = 1,964,220.73

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.