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Finding the Third Proportional to 310,319 and 474,497

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Solution

The third proportional to 310,319 and 474,497 is: 725,535.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,319 : 474,497 = 474,497 : x
  2. Step 2: Convert to fraction form
    310,319/474,497 = 474,497/x
  3. Step 3: Cross multiply
    310,319x = 474,497 × 474,497
  4. Step 4: Simplify right side
    310,319x = 225,147,403,009
  5. Step 5: Solve for x
    x = 225,147,403,009/310,319
  6. Step 6: Final answer
    x = 725,535.35

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.