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Finding the Third Proportional to 466,110 and 705,465

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Solution

The third proportional to 466,110 and 705,465 is: 1,067,732.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,110 : 705,465 = 705,465 : x
  2. Step 2: Convert to fraction form
    466,110/705,465 = 705,465/x
  3. Step 3: Cross multiply
    466,110x = 705,465 × 705,465
  4. Step 4: Simplify right side
    466,110x = 497,680,866,225
  5. Step 5: Solve for x
    x = 497,680,866,225/466,110
  6. Step 6: Final answer
    x = 1,067,732.65

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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.