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Finding the Third Proportional to 296,597.25 and 459,639

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Solution

The third proportional to 296,597.25 and 459,639 is: 712,306.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,597.25 : 459,639 = 459,639 : x
  2. Step 2: Convert to fraction form
    296,597.25/459,639 = 459,639/x
  3. Step 3: Cross multiply
    296,597.25x = 459,639 × 459,639
  4. Step 4: Simplify right side
    296,597.25x = 211,268,010,321
  5. Step 5: Solve for x
    x = 211,268,010,321/296,597.25
  6. Step 6: Final answer
    x = 712,306.03

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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.