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Finding the Third Proportional to 453,502 and 707,824

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Solution

The third proportional to 453,502 and 707,824 is: 1,104,768.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,502 : 707,824 = 707,824 : x
  2. Step 2: Convert to fraction form
    453,502/707,824 = 707,824/x
  3. Step 3: Cross multiply
    453,502x = 707,824 × 707,824
  4. Step 4: Simplify right side
    453,502x = 501,014,814,976
  5. Step 5: Solve for x
    x = 501,014,814,976/453,502
  6. Step 6: Final answer
    x = 1,104,768.70

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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.