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Finding the Third Proportional to 333,160 and 474,820

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Solution

The third proportional to 333,160 and 474,820 is: 676,713.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,160 : 474,820 = 474,820 : x
  2. Step 2: Convert to fraction form
    333,160/474,820 = 474,820/x
  3. Step 3: Cross multiply
    333,160x = 474,820 × 474,820
  4. Step 4: Simplify right side
    333,160x = 225,454,032,400
  5. Step 5: Solve for x
    x = 225,454,032,400/333,160
  6. Step 6: Final answer
    x = 676,713.99

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.