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Finding the Third Proportional to 371,642 and 560,943

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Solution

The third proportional to 371,642 and 560,943 is: 846,667.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,642 : 560,943 = 560,943 : x
  2. Step 2: Convert to fraction form
    371,642/560,943 = 560,943/x
  3. Step 3: Cross multiply
    371,642x = 560,943 × 560,943
  4. Step 4: Simplify right side
    371,642x = 314,657,049,249
  5. Step 5: Solve for x
    x = 314,657,049,249/371,642
  6. Step 6: Final answer
    x = 846,667.09

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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.