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Finding the Third Proportional to 210,316 and 459,480

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Solution

The third proportional to 210,316 and 459,480 is: 1,003,831.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,316 : 459,480 = 459,480 : x
  2. Step 2: Convert to fraction form
    210,316/459,480 = 459,480/x
  3. Step 3: Cross multiply
    210,316x = 459,480 × 459,480
  4. Step 4: Simplify right side
    210,316x = 211,121,870,400
  5. Step 5: Solve for x
    x = 211,121,870,400/210,316
  6. Step 6: Final answer
    x = 1,003,831.71

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.