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Finding the Third Proportional to 277,386 and 406,205

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Solution

The third proportional to 277,386 and 406,205 is: 594,847.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,386 : 406,205 = 406,205 : x
  2. Step 2: Convert to fraction form
    277,386/406,205 = 406,205/x
  3. Step 3: Cross multiply
    277,386x = 406,205 × 406,205
  4. Step 4: Simplify right side
    277,386x = 165,002,502,025
  5. Step 5: Solve for x
    x = 165,002,502,025/277,386
  6. Step 6: Final answer
    x = 594,847.98

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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.