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Finding the Third Proportional to 405,120 and 879,360

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Solution

The third proportional to 405,120 and 879,360 is: 1,908,752.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,120 : 879,360 = 879,360 : x
  2. Step 2: Convert to fraction form
    405,120/879,360 = 879,360/x
  3. Step 3: Cross multiply
    405,120x = 879,360 × 879,360
  4. Step 4: Simplify right side
    405,120x = 773,274,009,600
  5. Step 5: Solve for x
    x = 773,274,009,600/405,120
  6. Step 6: Final answer
    x = 1,908,752.99

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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.