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Finding the Third Proportional to 405,335 and 879,898

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Solution

The third proportional to 405,335 and 879,898 is: 1,910,075.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,335 : 879,898 = 879,898 : x
  2. Step 2: Convert to fraction form
    405,335/879,898 = 879,898/x
  3. Step 3: Cross multiply
    405,335x = 879,898 × 879,898
  4. Step 4: Simplify right side
    405,335x = 774,220,490,404
  5. Step 5: Solve for x
    x = 774,220,490,404/405,335
  6. Step 6: Final answer
    x = 1,910,075.59

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.