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Finding the Third Proportional to 339,594 and 497,358

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Solution

The third proportional to 339,594 and 497,358 is: 728,413.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,594 : 497,358 = 497,358 : x
  2. Step 2: Convert to fraction form
    339,594/497,358 = 497,358/x
  3. Step 3: Cross multiply
    339,594x = 497,358 × 497,358
  4. Step 4: Simplify right side
    339,594x = 247,364,980,164
  5. Step 5: Solve for x
    x = 247,364,980,164/339,594
  6. Step 6: Final answer
    x = 728,413.87

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.