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Finding the Third Proportional to 473,664 and 720,216

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Solution

The third proportional to 473,664 and 720,216 is: 1,095,103.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,664 : 720,216 = 720,216 : x
  2. Step 2: Convert to fraction form
    473,664/720,216 = 720,216/x
  3. Step 3: Cross multiply
    473,664x = 720,216 × 720,216
  4. Step 4: Simplify right side
    473,664x = 518,711,086,656
  5. Step 5: Solve for x
    x = 518,711,086,656/473,664
  6. Step 6: Final answer
    x = 1,095,103.46

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.