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Finding the Third Proportional to 575,401.50 and 851,946.75

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Solution

The third proportional to 575,401.50 and 851,946.75 is: 1,261,403.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    575,401.50 : 851,946.75 = 851,946.75 : x
  2. Step 2: Convert to fraction form
    575,401.50/851,946.75 = 851,946.75/x
  3. Step 3: Cross multiply
    575,401.50x = 851,946.75 × 851,946.75
  4. Step 4: Simplify right side
    575,401.50x = 725,813,264,835.56
  5. Step 5: Solve for x
    x = 725,813,264,835.56/575,401.50
  6. Step 6: Final answer
    x = 1,261,403.15

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.