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Finding the Third Proportional to 320,130 and 699,300

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Solution

The third proportional to 320,130 and 699,300 is: 1,527,568.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,130 : 699,300 = 699,300 : x
  2. Step 2: Convert to fraction form
    320,130/699,300 = 699,300/x
  3. Step 3: Cross multiply
    320,130x = 699,300 × 699,300
  4. Step 4: Simplify right side
    320,130x = 489,020,490,000
  5. Step 5: Solve for x
    x = 489,020,490,000/320,130
  6. Step 6: Final answer
    x = 1,527,568.46

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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.