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Finding the Third Proportional to 235,114 and 554,922

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Solution

The third proportional to 235,114 and 554,922 is: 1,309,740.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,114 : 554,922 = 554,922 : x
  2. Step 2: Convert to fraction form
    235,114/554,922 = 554,922/x
  3. Step 3: Cross multiply
    235,114x = 554,922 × 554,922
  4. Step 4: Simplify right side
    235,114x = 307,938,426,084
  5. Step 5: Solve for x
    x = 307,938,426,084/235,114
  6. Step 6: Final answer
    x = 1,309,740.92

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.