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Finding the Third Proportional to 257,971.50 and 390,852

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Solution

The third proportional to 257,971.50 and 390,852 is: 592,178.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,971.50 : 390,852 = 390,852 : x
  2. Step 2: Convert to fraction form
    257,971.50/390,852 = 390,852/x
  3. Step 3: Cross multiply
    257,971.50x = 390,852 × 390,852
  4. Step 4: Simplify right side
    257,971.50x = 152,765,285,904
  5. Step 5: Solve for x
    x = 152,765,285,904/257,971.50
  6. Step 6: Final answer
    x = 592,178.93

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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.