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Finding the Third Proportional to 450,084 and 960,432

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Solution

The third proportional to 450,084 and 960,432 is: 2,049,461.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,084 : 960,432 = 960,432 : x
  2. Step 2: Convert to fraction form
    450,084/960,432 = 960,432/x
  3. Step 3: Cross multiply
    450,084x = 960,432 × 960,432
  4. Step 4: Simplify right side
    450,084x = 922,429,626,624
  5. Step 5: Solve for x
    x = 922,429,626,624/450,084
  6. Step 6: Final answer
    x = 2,049,461.05

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.