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Finding the Third Proportional to 468,126 and 706,329

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Solution

The third proportional to 468,126 and 706,329 is: 1,065,740.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,126 : 706,329 = 706,329 : x
  2. Step 2: Convert to fraction form
    468,126/706,329 = 706,329/x
  3. Step 3: Cross multiply
    468,126x = 706,329 × 706,329
  4. Step 4: Simplify right side
    468,126x = 498,900,656,241
  5. Step 5: Solve for x
    x = 498,900,656,241/468,126
  6. Step 6: Final answer
    x = 1,065,740.11

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.