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Finding the Third Proportional to 218,754 and 478,656

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Solution

The third proportional to 218,754 and 478,656 is: 1,047,348.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,754 : 478,656 = 478,656 : x
  2. Step 2: Convert to fraction form
    218,754/478,656 = 478,656/x
  3. Step 3: Cross multiply
    218,754x = 478,656 × 478,656
  4. Step 4: Simplify right side
    218,754x = 229,111,566,336
  5. Step 5: Solve for x
    x = 229,111,566,336/218,754
  6. Step 6: Final answer
    x = 1,047,348.01

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.