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Finding the Third Proportional to 363,172 and 717,046

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Solution

The third proportional to 363,172 and 717,046 is: 1,415,734.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,172 : 717,046 = 717,046 : x
  2. Step 2: Convert to fraction form
    363,172/717,046 = 717,046/x
  3. Step 3: Cross multiply
    363,172x = 717,046 × 717,046
  4. Step 4: Simplify right side
    363,172x = 514,154,966,116
  5. Step 5: Solve for x
    x = 514,154,966,116/363,172
  6. Step 6: Final answer
    x = 1,415,734.05

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.