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Finding the Third Proportional to 406,957 and 598,670

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Solution

The third proportional to 406,957 and 598,670 is: 880,696.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,957 : 598,670 = 598,670 : x
  2. Step 2: Convert to fraction form
    406,957/598,670 = 598,670/x
  3. Step 3: Cross multiply
    406,957x = 598,670 × 598,670
  4. Step 4: Simplify right side
    406,957x = 358,405,768,900
  5. Step 5: Solve for x
    x = 358,405,768,900/406,957
  6. Step 6: Final answer
    x = 880,696.90

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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.