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Finding the Third Proportional to 272,147 and 429,090

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Solution

The third proportional to 272,147 and 429,090 is: 676,539.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,147 : 429,090 = 429,090 : x
  2. Step 2: Convert to fraction form
    272,147/429,090 = 429,090/x
  3. Step 3: Cross multiply
    272,147x = 429,090 × 429,090
  4. Step 4: Simplify right side
    272,147x = 184,118,228,100
  5. Step 5: Solve for x
    x = 184,118,228,100/272,147
  6. Step 6: Final answer
    x = 676,539.62

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.