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Finding the Third Proportional to 350,905 and 771,778

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Solution

The third proportional to 350,905 and 771,778 is: 1,697,443.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,905 : 771,778 = 771,778 : x
  2. Step 2: Convert to fraction form
    350,905/771,778 = 771,778/x
  3. Step 3: Cross multiply
    350,905x = 771,778 × 771,778
  4. Step 4: Simplify right side
    350,905x = 595,641,281,284
  5. Step 5: Solve for x
    x = 595,641,281,284/350,905
  6. Step 6: Final answer
    x = 1,697,443.13

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.