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Finding the Third Proportional to 536,732 and 802,343

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Solution

The third proportional to 536,732 and 802,343 is: 1,199,396.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,732 : 802,343 = 802,343 : x
  2. Step 2: Convert to fraction form
    536,732/802,343 = 802,343/x
  3. Step 3: Cross multiply
    536,732x = 802,343 × 802,343
  4. Step 4: Simplify right side
    536,732x = 643,754,289,649
  5. Step 5: Solve for x
    x = 643,754,289,649/536,732
  6. Step 6: Final answer
    x = 1,199,396.14

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.