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Finding the Third Proportional to 601,242.75 and 898,948.13

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Solution

The third proportional to 601,242.75 and 898,948.13 is: 1,344,062.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,242.75 : 898,948.13 = 898,948.13 : x
  2. Step 2: Convert to fraction form
    601,242.75/898,948.13 = 898,948.13/x
  3. Step 3: Cross multiply
    601,242.75x = 898,948.13 × 898,948.13
  4. Step 4: Simplify right side
    601,242.75x = 808,107,731,441.02
  5. Step 5: Solve for x
    x = 808,107,731,441.02/601,242.75
  6. Step 6: Final answer
    x = 1,344,062.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.