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Finding the Third Proportional to 468,752 and 663,716

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Solution

The third proportional to 468,752 and 663,716 is: 939,769.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,752 : 663,716 = 663,716 : x
  2. Step 2: Convert to fraction form
    468,752/663,716 = 663,716/x
  3. Step 3: Cross multiply
    468,752x = 663,716 × 663,716
  4. Step 4: Simplify right side
    468,752x = 440,518,928,656
  5. Step 5: Solve for x
    x = 440,518,928,656/468,752
  6. Step 6: Final answer
    x = 939,769.70

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.