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Finding the Third Proportional to 357,858 and 780,019.88

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Solution

The third proportional to 357,858 and 780,019.88 is: 1,700,202.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,858 : 780,019.88 = 780,019.88 : x
  2. Step 2: Convert to fraction form
    357,858/780,019.88 = 780,019.88/x
  3. Step 3: Cross multiply
    357,858x = 780,019.88 × 780,019.88
  4. Step 4: Simplify right side
    357,858x = 608,431,005,395.02
  5. Step 5: Solve for x
    x = 608,431,005,395.02/357,858
  6. Step 6: Final answer
    x = 1,700,202.33

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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.