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Finding the Third Proportional to 348,842 and 750,928

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Solution

The third proportional to 348,842 and 750,928 is: 1,616,470.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,842 : 750,928 = 750,928 : x
  2. Step 2: Convert to fraction form
    348,842/750,928 = 750,928/x
  3. Step 3: Cross multiply
    348,842x = 750,928 × 750,928
  4. Step 4: Simplify right side
    348,842x = 563,892,861,184
  5. Step 5: Solve for x
    x = 563,892,861,184/348,842
  6. Step 6: Final answer
    x = 1,616,470.67

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.