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Finding the Third Proportional to 599,239.50 and 1,283,772

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Solution

The third proportional to 599,239.50 and 1,283,772 is: 2,750,270.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,239.50 : 1,283,772 = 1,283,772 : x
  2. Step 2: Convert to fraction form
    599,239.50/1,283,772 = 1,283,772/x
  3. Step 3: Cross multiply
    599,239.50x = 1,283,772 × 1,283,772
  4. Step 4: Simplify right side
    599,239.50x = 1,648,070,547,984
  5. Step 5: Solve for x
    x = 1,648,070,547,984/599,239.50
  6. Step 6: Final answer
    x = 2,750,270.21

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.