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Finding the Third Proportional to 290,767 and 616,748

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Solution

The third proportional to 290,767 and 616,748 is: 1,308,188.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,767 : 616,748 = 616,748 : x
  2. Step 2: Convert to fraction form
    290,767/616,748 = 616,748/x
  3. Step 3: Cross multiply
    290,767x = 616,748 × 616,748
  4. Step 4: Simplify right side
    290,767x = 380,378,095,504
  5. Step 5: Solve for x
    x = 380,378,095,504/290,767
  6. Step 6: Final answer
    x = 1,308,188.67

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.