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Finding the Third Proportional to 447,480 and 872,280

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Solution

The third proportional to 447,480 and 872,280 is: 1,700,349.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,480 : 872,280 = 872,280 : x
  2. Step 2: Convert to fraction form
    447,480/872,280 = 872,280/x
  3. Step 3: Cross multiply
    447,480x = 872,280 × 872,280
  4. Step 4: Simplify right side
    447,480x = 760,872,398,400
  5. Step 5: Solve for x
    x = 760,872,398,400/447,480
  6. Step 6: Final answer
    x = 1,700,349.51

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.