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Finding the Third Proportional to 406,984 and 598,298

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Solution

The third proportional to 406,984 and 598,298 is: 879,544.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,984 : 598,298 = 598,298 : x
  2. Step 2: Convert to fraction form
    406,984/598,298 = 598,298/x
  3. Step 3: Cross multiply
    406,984x = 598,298 × 598,298
  4. Step 4: Simplify right side
    406,984x = 357,960,496,804
  5. Step 5: Solve for x
    x = 357,960,496,804/406,984
  6. Step 6: Final answer
    x = 879,544.40

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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.