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Finding the Third Proportional to 220,484 and 349,584

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Solution

The third proportional to 220,484 and 349,584 is: 554,275.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,484 : 349,584 = 349,584 : x
  2. Step 2: Convert to fraction form
    220,484/349,584 = 349,584/x
  3. Step 3: Cross multiply
    220,484x = 349,584 × 349,584
  4. Step 4: Simplify right side
    220,484x = 122,208,973,056
  5. Step 5: Solve for x
    x = 122,208,973,056/220,484
  6. Step 6: Final answer
    x = 554,275.93

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.