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Finding the Third Proportional to 286,216 and 453,106

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Solution

The third proportional to 286,216 and 453,106 is: 717,308.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,216 : 453,106 = 453,106 : x
  2. Step 2: Convert to fraction form
    286,216/453,106 = 453,106/x
  3. Step 3: Cross multiply
    286,216x = 453,106 × 453,106
  4. Step 4: Simplify right side
    286,216x = 205,305,047,236
  5. Step 5: Solve for x
    x = 205,305,047,236/286,216
  6. Step 6: Final answer
    x = 717,308.07

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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.