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Finding the Third Proportional to 577,564.50 and 897,762.75

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Solution

The third proportional to 577,564.50 and 897,762.75 is: 1,395,476.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,564.50 : 897,762.75 = 897,762.75 : x
  2. Step 2: Convert to fraction form
    577,564.50/897,762.75 = 897,762.75/x
  3. Step 3: Cross multiply
    577,564.50x = 897,762.75 × 897,762.75
  4. Step 4: Simplify right side
    577,564.50x = 805,977,955,287.56
  5. Step 5: Solve for x
    x = 805,977,955,287.56/577,564.50
  6. Step 6: Final answer
    x = 1,395,476.96

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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.