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Finding the Third Proportional to 310,332 and 474,522

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Solution

The third proportional to 310,332 and 474,522 is: 725,581.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,332 : 474,522 = 474,522 : x
  2. Step 2: Convert to fraction form
    310,332/474,522 = 474,522/x
  3. Step 3: Cross multiply
    310,332x = 474,522 × 474,522
  4. Step 4: Simplify right side
    310,332x = 225,171,128,484
  5. Step 5: Solve for x
    x = 225,171,128,484/310,332
  6. Step 6: Final answer
    x = 725,581.40

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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.