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Finding the Third Proportional to 301,389.19 and 410,433.75

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Solution

The third proportional to 301,389.19 and 410,433.75 is: 558,931.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,389.19 : 410,433.75 = 410,433.75 : x
  2. Step 2: Convert to fraction form
    301,389.19/410,433.75 = 410,433.75/x
  3. Step 3: Cross multiply
    301,389.19x = 410,433.75 × 410,433.75
  4. Step 4: Simplify right side
    301,389.19x = 168,455,863,139.06
  5. Step 5: Solve for x
    x = 168,455,863,139.06/301,389.19
  6. Step 6: Final answer
    x = 558,931.34

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.