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Finding the Third Proportional to 296,684.75 and 459,106.38

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Solution

The third proportional to 296,684.75 and 459,106.38 is: 710,446.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,684.75 : 459,106.38 = 459,106.38 : x
  2. Step 2: Convert to fraction form
    296,684.75/459,106.38 = 459,106.38/x
  3. Step 3: Cross multiply
    296,684.75x = 459,106.38 × 459,106.38
  4. Step 4: Simplify right side
    296,684.75x = 210,778,663,565.64
  5. Step 5: Solve for x
    x = 210,778,663,565.64/296,684.75
  6. Step 6: Final answer
    x = 710,446.57

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