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Finding the Third Proportional to 258,030 and 390,936

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Solution

The third proportional to 258,030 and 390,936 is: 592,299.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,030 : 390,936 = 390,936 : x
  2. Step 2: Convert to fraction form
    258,030/390,936 = 390,936/x
  3. Step 3: Cross multiply
    258,030x = 390,936 × 390,936
  4. Step 4: Simplify right side
    258,030x = 152,830,956,096
  5. Step 5: Solve for x
    x = 152,830,956,096/258,030
  6. Step 6: Final answer
    x = 592,299.17

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.