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Finding the Third Proportional to 386,061 and 590,572.50

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Solution

The third proportional to 386,061 and 590,572.50 is: 903,421.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,061 : 590,572.50 = 590,572.50 : x
  2. Step 2: Convert to fraction form
    386,061/590,572.50 = 590,572.50/x
  3. Step 3: Cross multiply
    386,061x = 590,572.50 × 590,572.50
  4. Step 4: Simplify right side
    386,061x = 348,775,877,756.25
  5. Step 5: Solve for x
    x = 348,775,877,756.25/386,061
  6. Step 6: Final answer
    x = 903,421.68

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.