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Finding the Third Proportional to 282,964 and 618,416

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Solution

The third proportional to 282,964 and 618,416 is: 1,351,544.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,964 : 618,416 = 618,416 : x
  2. Step 2: Convert to fraction form
    282,964/618,416 = 618,416/x
  3. Step 3: Cross multiply
    282,964x = 618,416 × 618,416
  4. Step 4: Simplify right side
    282,964x = 382,438,349,056
  5. Step 5: Solve for x
    x = 382,438,349,056/282,964
  6. Step 6: Final answer
    x = 1,351,544.19

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.