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Finding the Third Proportional to 301,423.50 and 410,490

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Solution

The third proportional to 301,423.50 and 410,490 is: 559,020.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,423.50 : 410,490 = 410,490 : x
  2. Step 2: Convert to fraction form
    301,423.50/410,490 = 410,490/x
  3. Step 3: Cross multiply
    301,423.50x = 410,490 × 410,490
  4. Step 4: Simplify right side
    301,423.50x = 168,502,040,100
  5. Step 5: Solve for x
    x = 168,502,040,100/301,423.50
  6. Step 6: Final answer
    x = 559,020.91

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