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Finding the Third Proportional to 571,815 and 841,090.50

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Solution

The third proportional to 571,815 and 841,090.50 is: 1,237,171.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    571,815 : 841,090.50 = 841,090.50 : x
  2. Step 2: Convert to fraction form
    571,815/841,090.50 = 841,090.50/x
  3. Step 3: Cross multiply
    571,815x = 841,090.50 × 841,090.50
  4. Step 4: Simplify right side
    571,815x = 707,433,229,190.25
  5. Step 5: Solve for x
    x = 707,433,229,190.25/571,815
  6. Step 6: Final answer
    x = 1,237,171.51

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