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Finding the Third Proportional to 257,440 and 553,623

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Solution

The third proportional to 257,440 and 553,623 is: 1,190,562.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,440 : 553,623 = 553,623 : x
  2. Step 2: Convert to fraction form
    257,440/553,623 = 553,623/x
  3. Step 3: Cross multiply
    257,440x = 553,623 × 553,623
  4. Step 4: Simplify right side
    257,440x = 306,498,426,129
  5. Step 5: Solve for x
    x = 306,498,426,129/257,440
  6. Step 6: Final answer
    x = 1,190,562.56

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.