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Finding the Third Proportional to 406,963 and 598,678

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Solution

The third proportional to 406,963 and 598,678 is: 880,707.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,963 : 598,678 = 598,678 : x
  2. Step 2: Convert to fraction form
    406,963/598,678 = 598,678/x
  3. Step 3: Cross multiply
    406,963x = 598,678 × 598,678
  4. Step 4: Simplify right side
    406,963x = 358,415,347,684
  5. Step 5: Solve for x
    x = 358,415,347,684/406,963
  6. Step 6: Final answer
    x = 880,707.45

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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.