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Finding the Third Proportional to 382,088 and 830,506

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Solution

The third proportional to 382,088 and 830,506 is: 1,805,186.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,088 : 830,506 = 830,506 : x
  2. Step 2: Convert to fraction form
    382,088/830,506 = 830,506/x
  3. Step 3: Cross multiply
    382,088x = 830,506 × 830,506
  4. Step 4: Simplify right side
    382,088x = 689,740,216,036
  5. Step 5: Solve for x
    x = 689,740,216,036/382,088
  6. Step 6: Final answer
    x = 1,805,186.81

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.