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Finding the Third Proportional to 333,363 and 718,851

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Solution

The third proportional to 333,363 and 718,851 is: 1,550,102.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,363 : 718,851 = 718,851 : x
  2. Step 2: Convert to fraction form
    333,363/718,851 = 718,851/x
  3. Step 3: Cross multiply
    333,363x = 718,851 × 718,851
  4. Step 4: Simplify right side
    333,363x = 516,746,760,201
  5. Step 5: Solve for x
    x = 516,746,760,201/333,363
  6. Step 6: Final answer
    x = 1,550,102.32

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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.