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Finding the Third Proportional to 315,360 and 700,704

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Solution

The third proportional to 315,360 and 700,704 is: 1,556,906.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,360 : 700,704 = 700,704 : x
  2. Step 2: Convert to fraction form
    315,360/700,704 = 700,704/x
  3. Step 3: Cross multiply
    315,360x = 700,704 × 700,704
  4. Step 4: Simplify right side
    315,360x = 490,986,095,616
  5. Step 5: Solve for x
    x = 490,986,095,616/315,360
  6. Step 6: Final answer
    x = 1,556,906.70

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.