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Finding the Third Proportional to 296,575.50 and 459,610

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Solution

The third proportional to 296,575.50 and 459,610 is: 712,268.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,575.50 : 459,610 = 459,610 : x
  2. Step 2: Convert to fraction form
    296,575.50/459,610 = 459,610/x
  3. Step 3: Cross multiply
    296,575.50x = 459,610 × 459,610
  4. Step 4: Simplify right side
    296,575.50x = 211,241,352,100
  5. Step 5: Solve for x
    x = 211,241,352,100/296,575.50
  6. Step 6: Final answer
    x = 712,268.38

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.