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Finding the Third Proportional to 572,427 and 841,137.75

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Solution

The third proportional to 572,427 and 841,137.75 is: 1,235,987.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    572,427 : 841,137.75 = 841,137.75 : x
  2. Step 2: Convert to fraction form
    572,427/841,137.75 = 841,137.75/x
  3. Step 3: Cross multiply
    572,427x = 841,137.75 × 841,137.75
  4. Step 4: Simplify right side
    572,427x = 707,512,714,475.06
  5. Step 5: Solve for x
    x = 707,512,714,475.06/572,427
  6. Step 6: Final answer
    x = 1,235,987.67

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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.