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Finding the Third Proportional to 406,949 and 598,664

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Solution

The third proportional to 406,949 and 598,664 is: 880,696.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,949 : 598,664 = 598,664 : x
  2. Step 2: Convert to fraction form
    406,949/598,664 = 598,664/x
  3. Step 3: Cross multiply
    406,949x = 598,664 × 598,664
  4. Step 4: Simplify right side
    406,949x = 358,398,584,896
  5. Step 5: Solve for x
    x = 358,398,584,896/406,949
  6. Step 6: Final answer
    x = 880,696.56

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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.