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Finding the Third Proportional to 580,466.25 and 879,457.50

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Solution

The third proportional to 580,466.25 and 879,457.50 is: 1,332,455.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,466.25 : 879,457.50 = 879,457.50 : x
  2. Step 2: Convert to fraction form
    580,466.25/879,457.50 = 879,457.50/x
  3. Step 3: Cross multiply
    580,466.25x = 879,457.50 × 879,457.50
  4. Step 4: Simplify right side
    580,466.25x = 773,445,494,306.25
  5. Step 5: Solve for x
    x = 773,445,494,306.25/580,466.25
  6. Step 6: Final answer
    x = 1,332,455.58

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.