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Finding the Third Proportional to 253,803 and 551,346

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Solution

The third proportional to 253,803 and 551,346 is: 1,197,710.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,803 : 551,346 = 551,346 : x
  2. Step 2: Convert to fraction form
    253,803/551,346 = 551,346/x
  3. Step 3: Cross multiply
    253,803x = 551,346 × 551,346
  4. Step 4: Simplify right side
    253,803x = 303,982,411,716
  5. Step 5: Solve for x
    x = 303,982,411,716/253,803
  6. Step 6: Final answer
    x = 1,197,710.08

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.