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Finding the Third Proportional to 266,252.06 and 578,431.13

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Solution

The third proportional to 266,252.06 and 578,431.13 is: 1,256,638.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,252.06 : 578,431.13 = 578,431.13 : x
  2. Step 2: Convert to fraction form
    266,252.06/578,431.13 = 578,431.13/x
  3. Step 3: Cross multiply
    266,252.06x = 578,431.13 × 578,431.13
  4. Step 4: Simplify right side
    266,252.06x = 334,582,566,368.77
  5. Step 5: Solve for x
    x = 334,582,566,368.77/266,252.06
  6. Step 6: Final answer
    x = 1,256,638.40

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.