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Finding the Third Proportional to 219,292 and 480,464

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Solution

The third proportional to 219,292 and 480,464 is: 1,052,686.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,292 : 480,464 = 480,464 : x
  2. Step 2: Convert to fraction form
    219,292/480,464 = 480,464/x
  3. Step 3: Cross multiply
    219,292x = 480,464 × 480,464
  4. Step 4: Simplify right side
    219,292x = 230,845,655,296
  5. Step 5: Solve for x
    x = 230,845,655,296/219,292
  6. Step 6: Final answer
    x = 1,052,686.17

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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.