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Finding the Third Proportional to 296,356 and 459,006

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Solution

The third proportional to 296,356 and 459,006 is: 710,923.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,356 : 459,006 = 459,006 : x
  2. Step 2: Convert to fraction form
    296,356/459,006 = 459,006/x
  3. Step 3: Cross multiply
    296,356x = 459,006 × 459,006
  4. Step 4: Simplify right side
    296,356x = 210,686,508,036
  5. Step 5: Solve for x
    x = 210,686,508,036/296,356
  6. Step 6: Final answer
    x = 710,923.71

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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.