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Finding the Third Proportional to 349,905 and 942,582

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Solution

The third proportional to 349,905 and 942,582 is: 2,539,148.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,905 : 942,582 = 942,582 : x
  2. Step 2: Convert to fraction form
    349,905/942,582 = 942,582/x
  3. Step 3: Cross multiply
    349,905x = 942,582 × 942,582
  4. Step 4: Simplify right side
    349,905x = 888,460,826,724
  5. Step 5: Solve for x
    x = 888,460,826,724/349,905
  6. Step 6: Final answer
    x = 2,539,148.70

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Why These Related Problems?

These problems maintain the same ratio (2.69) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.