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Finding the Third Proportional to 321,064 and 703,028

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Solution

The third proportional to 321,064 and 703,028 is: 1,539,407.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,064 : 703,028 = 703,028 : x
  2. Step 2: Convert to fraction form
    321,064/703,028 = 703,028/x
  3. Step 3: Cross multiply
    321,064x = 703,028 × 703,028
  4. Step 4: Simplify right side
    321,064x = 494,248,368,784
  5. Step 5: Solve for x
    x = 494,248,368,784/321,064
  6. Step 6: Final answer
    x = 1,539,407.62

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.