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Finding the Third Proportional to 459,273.16 and 714,060.56

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Solution

The third proportional to 459,273.16 and 714,060.56 is: 1,110,194.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,273.16 : 714,060.56 = 714,060.56 : x
  2. Step 2: Convert to fraction form
    459,273.16/714,060.56 = 714,060.56/x
  3. Step 3: Cross multiply
    459,273.16x = 714,060.56 × 714,060.56
  4. Step 4: Simplify right side
    459,273.16x = 509,882,486,917.82
  5. Step 5: Solve for x
    x = 509,882,486,917.82/459,273.16
  6. Step 6: Final answer
    x = 1,110,194.38

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.