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Finding the Third Proportional to 466,107 and 705,460.50

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Solution

The third proportional to 466,107 and 705,460.50 is: 1,067,725.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,107 : 705,460.50 = 705,460.50 : x
  2. Step 2: Convert to fraction form
    466,107/705,460.50 = 705,460.50/x
  3. Step 3: Cross multiply
    466,107x = 705,460.50 × 705,460.50
  4. Step 4: Simplify right side
    466,107x = 497,674,517,060.25
  5. Step 5: Solve for x
    x = 497,674,517,060.25/466,107
  6. Step 6: Final answer
    x = 1,067,725.90

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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.