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Finding the Third Proportional to 440,424 and 953,023.50

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Solution

The third proportional to 440,424 and 953,023.50 is: 2,062,225.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    440,424 : 953,023.50 = 953,023.50 : x
  2. Step 2: Convert to fraction form
    440,424/953,023.50 = 953,023.50/x
  3. Step 3: Cross multiply
    440,424x = 953,023.50 × 953,023.50
  4. Step 4: Simplify right side
    440,424x = 908,253,791,552.25
  5. Step 5: Solve for x
    x = 908,253,791,552.25/440,424
  6. Step 6: Final answer
    x = 2,062,225.93

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.