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Finding the Third Proportional to 432,027 and 930,271.50

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Solution

The third proportional to 432,027 and 930,271.50 is: 2,003,127.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,027 : 930,271.50 = 930,271.50 : x
  2. Step 2: Convert to fraction form
    432,027/930,271.50 = 930,271.50/x
  3. Step 3: Cross multiply
    432,027x = 930,271.50 × 930,271.50
  4. Step 4: Simplify right side
    432,027x = 865,405,063,712.25
  5. Step 5: Solve for x
    x = 865,405,063,712.25/432,027
  6. Step 6: Final answer
    x = 2,003,127.27

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.