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Finding the Third Proportional to 330,960 and 524,304

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Solution

The third proportional to 330,960 and 524,304 is: 830,597.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,960 : 524,304 = 524,304 : x
  2. Step 2: Convert to fraction form
    330,960/524,304 = 524,304/x
  3. Step 3: Cross multiply
    330,960x = 524,304 × 524,304
  4. Step 4: Simplify right side
    330,960x = 274,894,684,416
  5. Step 5: Solve for x
    x = 274,894,684,416/330,960
  6. Step 6: Final answer
    x = 830,597.91

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.