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Finding the Third Proportional to 459,104 and 758,688

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Solution

The third proportional to 459,104 and 758,688 is: 1,253,762.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,104 : 758,688 = 758,688 : x
  2. Step 2: Convert to fraction form
    459,104/758,688 = 758,688/x
  3. Step 3: Cross multiply
    459,104x = 758,688 × 758,688
  4. Step 4: Simplify right side
    459,104x = 575,607,481,344
  5. Step 5: Solve for x
    x = 575,607,481,344/459,104
  6. Step 6: Final answer
    x = 1,253,762.72

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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.