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Finding the Third Proportional to 216,386 and 467,332

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Solution

The third proportional to 216,386 and 467,332 is: 1,009,303.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,386 : 467,332 = 467,332 : x
  2. Step 2: Convert to fraction form
    216,386/467,332 = 467,332/x
  3. Step 3: Cross multiply
    216,386x = 467,332 × 467,332
  4. Step 4: Simplify right side
    216,386x = 218,399,198,224
  5. Step 5: Solve for x
    x = 218,399,198,224/216,386
  6. Step 6: Final answer
    x = 1,009,303.74

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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.