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Finding the Third Proportional to 440,174.25 and 964,730.25

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Solution

The third proportional to 440,174.25 and 964,730.25 is: 2,114,400.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    440,174.25 : 964,730.25 = 964,730.25 : x
  2. Step 2: Convert to fraction form
    440,174.25/964,730.25 = 964,730.25/x
  3. Step 3: Cross multiply
    440,174.25x = 964,730.25 × 964,730.25
  4. Step 4: Simplify right side
    440,174.25x = 930,704,455,265.06
  5. Step 5: Solve for x
    x = 930,704,455,265.06/440,174.25
  6. Step 6: Final answer
    x = 2,114,400.05

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.