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Finding the Third Proportional to 370,403 and 560,768

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Solution

The third proportional to 370,403 and 560,768 is: 848,969.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,403 : 560,768 = 560,768 : x
  2. Step 2: Convert to fraction form
    370,403/560,768 = 560,768/x
  3. Step 3: Cross multiply
    370,403x = 560,768 × 560,768
  4. Step 4: Simplify right side
    370,403x = 314,460,749,824
  5. Step 5: Solve for x
    x = 314,460,749,824/370,403
  6. Step 6: Final answer
    x = 848,969.23

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.