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Finding the Third Proportional to 468,021 and 695,145

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Solution

The third proportional to 468,021 and 695,145 is: 1,032,489.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,021 : 695,145 = 695,145 : x
  2. Step 2: Convert to fraction form
    468,021/695,145 = 695,145/x
  3. Step 3: Cross multiply
    468,021x = 695,145 × 695,145
  4. Step 4: Simplify right side
    468,021x = 483,226,571,025
  5. Step 5: Solve for x
    x = 483,226,571,025/468,021
  6. Step 6: Final answer
    x = 1,032,489.08

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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.