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Finding the Third Proportional to 301,389 and 409,325.25

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Solution

The third proportional to 301,389 and 409,325.25 is: 555,916.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,389 : 409,325.25 = 409,325.25 : x
  2. Step 2: Convert to fraction form
    301,389/409,325.25 = 409,325.25/x
  3. Step 3: Cross multiply
    301,389x = 409,325.25 × 409,325.25
  4. Step 4: Simplify right side
    301,389x = 167,547,160,287.56
  5. Step 5: Solve for x
    x = 167,547,160,287.56/301,389
  6. Step 6: Final answer
    x = 555,916.64

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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.