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Finding the Third Proportional to 259,671 and 392,314.50

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Solution

The third proportional to 259,671 and 392,314.50 is: 592,714.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,671 : 392,314.50 = 392,314.50 : x
  2. Step 2: Convert to fraction form
    259,671/392,314.50 = 392,314.50/x
  3. Step 3: Cross multiply
    259,671x = 392,314.50 × 392,314.50
  4. Step 4: Simplify right side
    259,671x = 153,910,666,910.25
  5. Step 5: Solve for x
    x = 153,910,666,910.25/259,671
  6. Step 6: Final answer
    x = 592,714.11

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.