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Finding the Third Proportional to 258,719.50 and 392,453

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Solution

The third proportional to 258,719.50 and 392,453 is: 595,314.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,719.50 : 392,453 = 392,453 : x
  2. Step 2: Convert to fraction form
    258,719.50/392,453 = 392,453/x
  3. Step 3: Cross multiply
    258,719.50x = 392,453 × 392,453
  4. Step 4: Simplify right side
    258,719.50x = 154,019,357,209
  5. Step 5: Solve for x
    x = 154,019,357,209/258,719.50
  6. Step 6: Final answer
    x = 595,314.06

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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.