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Finding the Third Proportional to 565,146 and 847,728

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Solution

The third proportional to 565,146 and 847,728 is: 1,271,605.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,146 : 847,728 = 847,728 : x
  2. Step 2: Convert to fraction form
    565,146/847,728 = 847,728/x
  3. Step 3: Cross multiply
    565,146x = 847,728 × 847,728
  4. Step 4: Simplify right side
    565,146x = 718,642,761,984
  5. Step 5: Solve for x
    x = 718,642,761,984/565,146
  6. Step 6: Final answer
    x = 1,271,605.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.