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Finding the Third Proportional to 359,964 and 547,236

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Solution

The third proportional to 359,964 and 547,236 is: 831,936.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,964 : 547,236 = 547,236 : x
  2. Step 2: Convert to fraction form
    359,964/547,236 = 547,236/x
  3. Step 3: Cross multiply
    359,964x = 547,236 × 547,236
  4. Step 4: Simplify right side
    359,964x = 299,467,239,696
  5. Step 5: Solve for x
    x = 299,467,239,696/359,964
  6. Step 6: Final answer
    x = 831,936.64

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.