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Finding the Third Proportional to 267,965.25 and 426,547.88

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Solution

The third proportional to 267,965.25 and 426,547.88 is: 678,980.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,965.25 : 426,547.88 = 426,547.88 : x
  2. Step 2: Convert to fraction form
    267,965.25/426,547.88 = 426,547.88/x
  3. Step 3: Cross multiply
    267,965.25x = 426,547.88 × 426,547.88
  4. Step 4: Simplify right side
    267,965.25x = 181,943,089,667.02
  5. Step 5: Solve for x
    x = 181,943,089,667.02/267,965.25
  6. Step 6: Final answer
    x = 678,980.17

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.