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Finding the Third Proportional to 622,829.25 and 931,000.50

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Solution

The third proportional to 622,829.25 and 931,000.50 is: 1,391,652.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    622,829.25 : 931,000.50 = 931,000.50 : x
  2. Step 2: Convert to fraction form
    622,829.25/931,000.50 = 931,000.50/x
  3. Step 3: Cross multiply
    622,829.25x = 931,000.50 × 931,000.50
  4. Step 4: Simplify right side
    622,829.25x = 866,761,931,000.25
  5. Step 5: Solve for x
    x = 866,761,931,000.25/622,829.25
  6. Step 6: Final answer
    x = 1,391,652.58

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.