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Finding the Third Proportional to 425,185 and 658,316

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Solution

The third proportional to 425,185 and 658,316 is: 1,019,273.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,185 : 658,316 = 658,316 : x
  2. Step 2: Convert to fraction form
    425,185/658,316 = 658,316/x
  3. Step 3: Cross multiply
    425,185x = 658,316 × 658,316
  4. Step 4: Simplify right side
    425,185x = 433,379,955,856
  5. Step 5: Solve for x
    x = 433,379,955,856/425,185
  6. Step 6: Final answer
    x = 1,019,273.86

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.