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Finding the Third Proportional to 718,920 and 953,964

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Solution

The third proportional to 718,920 and 953,964 is: 1,265,853.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    718,920 : 953,964 = 953,964 : x
  2. Step 2: Convert to fraction form
    718,920/953,964 = 953,964/x
  3. Step 3: Cross multiply
    718,920x = 953,964 × 953,964
  4. Step 4: Simplify right side
    718,920x = 910,047,313,296
  5. Step 5: Solve for x
    x = 910,047,313,296/718,920
  6. Step 6: Final answer
    x = 1,265,853.38

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.