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Finding the Third Proportional to 466,319 and 720,096

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Solution

The third proportional to 466,319 and 720,096 is: 1,111,981.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,319 : 720,096 = 720,096 : x
  2. Step 2: Convert to fraction form
    466,319/720,096 = 720,096/x
  3. Step 3: Cross multiply
    466,319x = 720,096 × 720,096
  4. Step 4: Simplify right side
    466,319x = 518,538,249,216
  5. Step 5: Solve for x
    x = 518,538,249,216/466,319
  6. Step 6: Final answer
    x = 1,111,981.82

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.