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Finding the Third Proportional to 216,574 and 333,319

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Solution

The third proportional to 216,574 and 333,319 is: 512,995.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,574 : 333,319 = 333,319 : x
  2. Step 2: Convert to fraction form
    216,574/333,319 = 333,319/x
  3. Step 3: Cross multiply
    216,574x = 333,319 × 333,319
  4. Step 4: Simplify right side
    216,574x = 111,101,555,761
  5. Step 5: Solve for x
    x = 111,101,555,761/216,574
  6. Step 6: Final answer
    x = 512,995.82

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.