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Finding the Third Proportional to 453,649.50 and 705,588.75

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Solution

The third proportional to 453,649.50 and 705,588.75 is: 1,097,445.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,649.50 : 705,588.75 = 705,588.75 : x
  2. Step 2: Convert to fraction form
    453,649.50/705,588.75 = 705,588.75/x
  3. Step 3: Cross multiply
    453,649.50x = 705,588.75 × 705,588.75
  4. Step 4: Simplify right side
    453,649.50x = 497,855,484,126.56
  5. Step 5: Solve for x
    x = 497,855,484,126.56/453,649.50
  6. Step 6: Final answer
    x = 1,097,445.24

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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.