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Finding the Third Proportional to 440,820 and 654,750

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Solution

The third proportional to 440,820 and 654,750 is: 972,500.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    440,820 : 654,750 = 654,750 : x
  2. Step 2: Convert to fraction form
    440,820/654,750 = 654,750/x
  3. Step 3: Cross multiply
    440,820x = 654,750 × 654,750
  4. Step 4: Simplify right side
    440,820x = 428,697,562,500
  5. Step 5: Solve for x
    x = 428,697,562,500/440,820
  6. Step 6: Final answer
    x = 972,500.26

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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.