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Finding the Third Proportional to 371,642 and 560,946

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Solution

The third proportional to 371,642 and 560,946 is: 846,676.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,642 : 560,946 = 560,946 : x
  2. Step 2: Convert to fraction form
    371,642/560,946 = 560,946/x
  3. Step 3: Cross multiply
    371,642x = 560,946 × 560,946
  4. Step 4: Simplify right side
    371,642x = 314,660,414,916
  5. Step 5: Solve for x
    x = 314,660,414,916/371,642
  6. Step 6: Final answer
    x = 846,676.14

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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.