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Finding the Third Proportional to 501,964 and 736,205

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Solution

The third proportional to 501,964 and 736,205 is: 1,079,754.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,964 : 736,205 = 736,205 : x
  2. Step 2: Convert to fraction form
    501,964/736,205 = 736,205/x
  3. Step 3: Cross multiply
    501,964x = 736,205 × 736,205
  4. Step 4: Simplify right side
    501,964x = 541,997,802,025
  5. Step 5: Solve for x
    x = 541,997,802,025/501,964
  6. Step 6: Final answer
    x = 1,079,754.33

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.