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Finding the Third Proportional to 406,965 and 598,682

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Solution

The third proportional to 406,965 and 598,682 is: 880,714.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,965 : 598,682 = 598,682 : x
  2. Step 2: Convert to fraction form
    406,965/598,682 = 598,682/x
  3. Step 3: Cross multiply
    406,965x = 598,682 × 598,682
  4. Step 4: Simplify right side
    406,965x = 358,420,137,124
  5. Step 5: Solve for x
    x = 358,420,137,124/406,965
  6. Step 6: Final answer
    x = 880,714.89

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.