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Finding the Third Proportional to 310,388 and 474,598

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Solution

The third proportional to 310,388 and 474,598 is: 725,682.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,388 : 474,598 = 474,598 : x
  2. Step 2: Convert to fraction form
    310,388/474,598 = 474,598/x
  3. Step 3: Cross multiply
    310,388x = 474,598 × 474,598
  4. Step 4: Simplify right side
    310,388x = 225,243,261,604
  5. Step 5: Solve for x
    x = 225,243,261,604/310,388
  6. Step 6: Final answer
    x = 725,682.89

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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.