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Finding the Third Proportional to 321,089.63 and 500,018.06

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Solution

The third proportional to 321,089.63 and 500,018.06 is: 778,655.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,089.63 : 500,018.06 = 500,018.06 : x
  2. Step 2: Convert to fraction form
    321,089.63/500,018.06 = 500,018.06/x
  3. Step 3: Cross multiply
    321,089.63x = 500,018.06 × 500,018.06
  4. Step 4: Simplify right side
    321,089.63x = 250,018,062,826.25
  5. Step 5: Solve for x
    x = 250,018,062,826.25/321,089.63
  6. Step 6: Final answer
    x = 778,655.07

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.