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Finding the Third Proportional to 411,208 and 645,210

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Solution

The third proportional to 411,208 and 645,210 is: 1,012,373.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,208 : 645,210 = 645,210 : x
  2. Step 2: Convert to fraction form
    411,208/645,210 = 645,210/x
  3. Step 3: Cross multiply
    411,208x = 645,210 × 645,210
  4. Step 4: Simplify right side
    411,208x = 416,295,944,100
  5. Step 5: Solve for x
    x = 416,295,944,100/411,208
  6. Step 6: Final answer
    x = 1,012,373.16

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.