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Finding the Third Proportional to 264,316 and 425,589

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Solution

The third proportional to 264,316 and 425,589 is: 685,263.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,316 : 425,589 = 425,589 : x
  2. Step 2: Convert to fraction form
    264,316/425,589 = 425,589/x
  3. Step 3: Cross multiply
    264,316x = 425,589 × 425,589
  4. Step 4: Simplify right side
    264,316x = 181,125,996,921
  5. Step 5: Solve for x
    x = 181,125,996,921/264,316
  6. Step 6: Final answer
    x = 685,263.08

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.