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Finding the Third Proportional to 575,365 and 863,048

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Solution

The third proportional to 575,365 and 863,048 is: 1,294,572.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    575,365 : 863,048 = 863,048 : x
  2. Step 2: Convert to fraction form
    575,365/863,048 = 863,048/x
  3. Step 3: Cross multiply
    575,365x = 863,048 × 863,048
  4. Step 4: Simplify right side
    575,365x = 744,851,850,304
  5. Step 5: Solve for x
    x = 744,851,850,304/575,365
  6. Step 6: Final answer
    x = 1,294,572.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.