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Finding the Third Proportional to 453,264.75 and 705,048.75

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Solution

The third proportional to 453,264.75 and 705,048.75 is: 1,096,696.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,264.75 : 705,048.75 = 705,048.75 : x
  2. Step 2: Convert to fraction form
    453,264.75/705,048.75 = 705,048.75/x
  3. Step 3: Cross multiply
    453,264.75x = 705,048.75 × 705,048.75
  4. Step 4: Simplify right side
    453,264.75x = 497,093,739,876.56
  5. Step 5: Solve for x
    x = 497,093,739,876.56/453,264.75
  6. Step 6: Final answer
    x = 1,096,696.22

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.