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Finding the Third Proportional to 459,018 and 758,556

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Solution

The third proportional to 459,018 and 758,556 is: 1,253,561.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,018 : 758,556 = 758,556 : x
  2. Step 2: Convert to fraction form
    459,018/758,556 = 758,556/x
  3. Step 3: Cross multiply
    459,018x = 758,556 × 758,556
  4. Step 4: Simplify right side
    459,018x = 575,407,205,136
  5. Step 5: Solve for x
    x = 575,407,205,136/459,018
  6. Step 6: Final answer
    x = 1,253,561.31

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.