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Finding the Third Proportional to 453,642 and 705,576

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Solution

The third proportional to 453,642 and 705,576 is: 1,097,423.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,642 : 705,576 = 705,576 : x
  2. Step 2: Convert to fraction form
    453,642/705,576 = 705,576/x
  3. Step 3: Cross multiply
    453,642x = 705,576 × 705,576
  4. Step 4: Simplify right side
    453,642x = 497,837,491,776
  5. Step 5: Solve for x
    x = 497,837,491,776/453,642
  6. Step 6: Final answer
    x = 1,097,423.72

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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.