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Finding the Third Proportional to 262,801.13 and 375,802.88

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Solution

The third proportional to 262,801.13 and 375,802.88 is: 537,394.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,801.13 : 375,802.88 = 375,802.88 : x
  2. Step 2: Convert to fraction form
    262,801.13/375,802.88 = 375,802.88/x
  3. Step 3: Cross multiply
    262,801.13x = 375,802.88 × 375,802.88
  4. Step 4: Simplify right side
    262,801.13x = 141,227,800,858.27
  5. Step 5: Solve for x
    x = 141,227,800,858.27/262,801.13
  6. Step 6: Final answer
    x = 537,394.20

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.