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Finding the Third Proportional to 290,751.50 and 616,732

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Solution

The third proportional to 290,751.50 and 616,732 is: 1,308,190.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,751.50 : 616,732 = 616,732 : x
  2. Step 2: Convert to fraction form
    290,751.50/616,732 = 616,732/x
  3. Step 3: Cross multiply
    290,751.50x = 616,732 × 616,732
  4. Step 4: Simplify right side
    290,751.50x = 380,358,359,824
  5. Step 5: Solve for x
    x = 380,358,359,824/290,751.50
  6. Step 6: Final answer
    x = 1,308,190.53

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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.