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Finding the Third Proportional to 535,802.25 and 816,264.75

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Solution

The third proportional to 535,802.25 and 816,264.75 is: 1,243,533.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,802.25 : 816,264.75 = 816,264.75 : x
  2. Step 2: Convert to fraction form
    535,802.25/816,264.75 = 816,264.75/x
  3. Step 3: Cross multiply
    535,802.25x = 816,264.75 × 816,264.75
  4. Step 4: Simplify right side
    535,802.25x = 666,288,142,092.56
  5. Step 5: Solve for x
    x = 666,288,142,092.56/535,802.25
  6. Step 6: Final answer
    x = 1,243,533.68

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.