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Finding the Third Proportional to 250,740 and 553,968

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Solution

The third proportional to 250,740 and 553,968 is: 1,223,899.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,740 : 553,968 = 553,968 : x
  2. Step 2: Convert to fraction form
    250,740/553,968 = 553,968/x
  3. Step 3: Cross multiply
    250,740x = 553,968 × 553,968
  4. Step 4: Simplify right side
    250,740x = 306,880,545,024
  5. Step 5: Solve for x
    x = 306,880,545,024/250,740
  6. Step 6: Final answer
    x = 1,223,899.44

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.