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Finding the Third Proportional to 468,116 and 706,316

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Solution

The third proportional to 468,116 and 706,316 is: 1,065,723.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,116 : 706,316 = 706,316 : x
  2. Step 2: Convert to fraction form
    468,116/706,316 = 706,316/x
  3. Step 3: Cross multiply
    468,116x = 706,316 × 706,316
  4. Step 4: Simplify right side
    468,116x = 498,882,291,856
  5. Step 5: Solve for x
    x = 498,882,291,856/468,116
  6. Step 6: Final answer
    x = 1,065,723.65

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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.