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Finding the Third Proportional to 571,583.25 and 841,584.38

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Solution

The third proportional to 571,583.25 and 841,584.38 is: 1,239,127.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    571,583.25 : 841,584.38 = 841,584.38 : x
  2. Step 2: Convert to fraction form
    571,583.25/841,584.38 = 841,584.38/x
  3. Step 3: Cross multiply
    571,583.25x = 841,584.38 × 841,584.38
  4. Step 4: Simplify right side
    571,583.25x = 708,264,260,244.14
  5. Step 5: Solve for x
    x = 708,264,260,244.14/571,583.25
  6. Step 6: Final answer
    x = 1,239,127.04

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.