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Finding the Third Proportional to 406,958 and 598,671

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Solution

The third proportional to 406,958 and 598,671 is: 880,697.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,958 : 598,671 = 598,671 : x
  2. Step 2: Convert to fraction form
    406,958/598,671 = 598,671/x
  3. Step 3: Cross multiply
    406,958x = 598,671 × 598,671
  4. Step 4: Simplify right side
    406,958x = 358,406,966,241
  5. Step 5: Solve for x
    x = 358,406,966,241/406,958
  6. Step 6: Final answer
    x = 880,697.68

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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.