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Finding the Third Proportional to 380,222 and 830,560

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Solution

The third proportional to 380,222 and 830,560 is: 1,814,281.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,222 : 830,560 = 830,560 : x
  2. Step 2: Convert to fraction form
    380,222/830,560 = 830,560/x
  3. Step 3: Cross multiply
    380,222x = 830,560 × 830,560
  4. Step 4: Simplify right side
    380,222x = 689,829,913,600
  5. Step 5: Solve for x
    x = 689,829,913,600/380,222
  6. Step 6: Final answer
    x = 1,814,281.96

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.