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Finding the Third Proportional to 401,537 and 550,583

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Solution

The third proportional to 401,537 and 550,583 is: 754,953.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,537 : 550,583 = 550,583 : x
  2. Step 2: Convert to fraction form
    401,537/550,583 = 550,583/x
  3. Step 3: Cross multiply
    401,537x = 550,583 × 550,583
  4. Step 4: Simplify right side
    401,537x = 303,141,639,889
  5. Step 5: Solve for x
    x = 303,141,639,889/401,537
  6. Step 6: Final answer
    x = 754,953.19

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.