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Finding the Third Proportional to 406,842.75 and 601,971.75

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Solution

The third proportional to 406,842.75 and 601,971.75 is: 890,688.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,842.75 : 601,971.75 = 601,971.75 : x
  2. Step 2: Convert to fraction form
    406,842.75/601,971.75 = 601,971.75/x
  3. Step 3: Cross multiply
    406,842.75x = 601,971.75 × 601,971.75
  4. Step 4: Simplify right side
    406,842.75x = 362,369,987,798.06
  5. Step 5: Solve for x
    x = 362,369,987,798.06/406,842.75
  6. Step 6: Final answer
    x = 890,688.08

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.