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Finding the Third Proportional to 290,181 and 651,786

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Solution

The third proportional to 290,181 and 651,786 is: 1,464,000.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,181 : 651,786 = 651,786 : x
  2. Step 2: Convert to fraction form
    290,181/651,786 = 651,786/x
  3. Step 3: Cross multiply
    290,181x = 651,786 × 651,786
  4. Step 4: Simplify right side
    290,181x = 424,824,989,796
  5. Step 5: Solve for x
    x = 424,824,989,796/290,181
  6. Step 6: Final answer
    x = 1,464,000.02

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.