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Finding the Third Proportional to 321,570 and 700,284

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Solution

The third proportional to 321,570 and 700,284 is: 1,525,010.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,570 : 700,284 = 700,284 : x
  2. Step 2: Convert to fraction form
    321,570/700,284 = 700,284/x
  3. Step 3: Cross multiply
    321,570x = 700,284 × 700,284
  4. Step 4: Simplify right side
    321,570x = 490,397,680,656
  5. Step 5: Solve for x
    x = 490,397,680,656/321,570
  6. Step 6: Final answer
    x = 1,525,010.67

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.