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Finding the Third Proportional to 264,018 and 578,701.50

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Solution

The third proportional to 264,018 and 578,701.50 is: 1,268,456.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,018 : 578,701.50 = 578,701.50 : x
  2. Step 2: Convert to fraction form
    264,018/578,701.50 = 578,701.50/x
  3. Step 3: Cross multiply
    264,018x = 578,701.50 × 578,701.50
  4. Step 4: Simplify right side
    264,018x = 334,895,426,102.25
  5. Step 5: Solve for x
    x = 334,895,426,102.25/264,018
  6. Step 6: Final answer
    x = 1,268,456.79

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.