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Finding the Third Proportional to 360,103 and 786,646

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Solution

The third proportional to 360,103 and 786,646 is: 1,718,430.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,103 : 786,646 = 786,646 : x
  2. Step 2: Convert to fraction form
    360,103/786,646 = 786,646/x
  3. Step 3: Cross multiply
    360,103x = 786,646 × 786,646
  4. Step 4: Simplify right side
    360,103x = 618,811,929,316
  5. Step 5: Solve for x
    x = 618,811,929,316/360,103
  6. Step 6: Final answer
    x = 1,718,430.36

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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.