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Finding the Third Proportional to 462,148 and 618,158

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Solution

The third proportional to 462,148 and 618,158 is: 826,833.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,148 : 618,158 = 618,158 : x
  2. Step 2: Convert to fraction form
    462,148/618,158 = 618,158/x
  3. Step 3: Cross multiply
    462,148x = 618,158 × 618,158
  4. Step 4: Simplify right side
    462,148x = 382,119,312,964
  5. Step 5: Solve for x
    x = 382,119,312,964/462,148
  6. Step 6: Final answer
    x = 826,833.21

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.