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Finding the Third Proportional to 286,210 and 453,097

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Solution

The third proportional to 286,210 and 453,097 is: 717,294.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,210 : 453,097 = 453,097 : x
  2. Step 2: Convert to fraction form
    286,210/453,097 = 453,097/x
  3. Step 3: Cross multiply
    286,210x = 453,097 × 453,097
  4. Step 4: Simplify right side
    286,210x = 205,296,891,409
  5. Step 5: Solve for x
    x = 205,296,891,409/286,210
  6. Step 6: Final answer
    x = 717,294.61

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.