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Finding the Third Proportional to 473,520 and 703,080

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Solution

The third proportional to 473,520 and 703,080 is: 1,043,929.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,520 : 703,080 = 703,080 : x
  2. Step 2: Convert to fraction form
    473,520/703,080 = 703,080/x
  3. Step 3: Cross multiply
    473,520x = 703,080 × 703,080
  4. Step 4: Simplify right side
    473,520x = 494,321,486,400
  5. Step 5: Solve for x
    x = 494,321,486,400/473,520
  6. Step 6: Final answer
    x = 1,043,929.48

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.