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Finding the Third Proportional to 535,272.75 and 829,802.25

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Solution

The third proportional to 535,272.75 and 829,802.25 is: 1,286,394.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,272.75 : 829,802.25 = 829,802.25 : x
  2. Step 2: Convert to fraction form
    535,272.75/829,802.25 = 829,802.25/x
  3. Step 3: Cross multiply
    535,272.75x = 829,802.25 × 829,802.25
  4. Step 4: Simplify right side
    535,272.75x = 688,571,774,105.06
  5. Step 5: Solve for x
    x = 688,571,774,105.06/535,272.75
  6. Step 6: Final answer
    x = 1,286,394.22

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.