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Finding the Third Proportional to 353,754 and 560,427

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Solution

The third proportional to 353,754 and 560,427 is: 887,844.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,754 : 560,427 = 560,427 : x
  2. Step 2: Convert to fraction form
    353,754/560,427 = 560,427/x
  3. Step 3: Cross multiply
    353,754x = 560,427 × 560,427
  4. Step 4: Simplify right side
    353,754x = 314,078,422,329
  5. Step 5: Solve for x
    x = 314,078,422,329/353,754
  6. Step 6: Final answer
    x = 887,844.16

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.