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Finding the Third Proportional to 406,971 and 598,276.13

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Solution

The third proportional to 406,971 and 598,276.13 is: 879,508.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,971 : 598,276.13 = 598,276.13 : x
  2. Step 2: Convert to fraction form
    406,971/598,276.13 = 598,276.13/x
  3. Step 3: Cross multiply
    406,971x = 598,276.13 × 598,276.13
  4. Step 4: Simplify right side
    406,971x = 357,934,321,745.02
  5. Step 5: Solve for x
    x = 357,934,321,745.02/406,971
  6. Step 6: Final answer
    x = 879,508.18

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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.