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Finding the Third Proportional to 423,024 and 580,080

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Solution

The third proportional to 423,024 and 580,080 is: 795,446.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,024 : 580,080 = 580,080 : x
  2. Step 2: Convert to fraction form
    423,024/580,080 = 580,080/x
  3. Step 3: Cross multiply
    423,024x = 580,080 × 580,080
  4. Step 4: Simplify right side
    423,024x = 336,492,806,400
  5. Step 5: Solve for x
    x = 336,492,806,400/423,024
  6. Step 6: Final answer
    x = 795,446.14

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.