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Finding the Third Proportional to 406,980 and 598,712

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Solution

The third proportional to 406,980 and 598,712 is: 880,770.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,980 : 598,712 = 598,712 : x
  2. Step 2: Convert to fraction form
    406,980/598,712 = 598,712/x
  3. Step 3: Cross multiply
    406,980x = 598,712 × 598,712
  4. Step 4: Simplify right side
    406,980x = 358,456,058,944
  5. Step 5: Solve for x
    x = 358,456,058,944/406,980
  6. Step 6: Final answer
    x = 880,770.70

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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.