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Finding the Third Proportional to 333,429 and 718,986

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Solution

The third proportional to 333,429 and 718,986 is: 1,550,377.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,429 : 718,986 = 718,986 : x
  2. Step 2: Convert to fraction form
    333,429/718,986 = 718,986/x
  3. Step 3: Cross multiply
    333,429x = 718,986 × 718,986
  4. Step 4: Simplify right side
    333,429x = 516,940,868,196
  5. Step 5: Solve for x
    x = 516,940,868,196/333,429
  6. Step 6: Final answer
    x = 1,550,377.65

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.