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Finding the Third Proportional to 371,259 and 579,062.25

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Solution

The third proportional to 371,259 and 579,062.25 is: 903,178.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,259 : 579,062.25 = 579,062.25 : x
  2. Step 2: Convert to fraction form
    371,259/579,062.25 = 579,062.25/x
  3. Step 3: Cross multiply
    371,259x = 579,062.25 × 579,062.25
  4. Step 4: Simplify right side
    371,259x = 335,313,089,375.06
  5. Step 5: Solve for x
    x = 335,313,089,375.06/371,259
  6. Step 6: Final answer
    x = 903,178.35

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.