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Finding the Third Proportional to 469,916 and 756,634

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Solution

The third proportional to 469,916 and 756,634 is: 1,218,292.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,916 : 756,634 = 756,634 : x
  2. Step 2: Convert to fraction form
    469,916/756,634 = 756,634/x
  3. Step 3: Cross multiply
    469,916x = 756,634 × 756,634
  4. Step 4: Simplify right side
    469,916x = 572,495,009,956
  5. Step 5: Solve for x
    x = 572,495,009,956/469,916
  6. Step 6: Final answer
    x = 1,218,292.23

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.