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Finding the Third Proportional to 466,362 and 720,160

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Solution

The third proportional to 466,362 and 720,160 is: 1,112,076.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,362 : 720,160 = 720,160 : x
  2. Step 2: Convert to fraction form
    466,362/720,160 = 720,160/x
  3. Step 3: Cross multiply
    466,362x = 720,160 × 720,160
  4. Step 4: Simplify right side
    466,362x = 518,630,425,600
  5. Step 5: Solve for x
    x = 518,630,425,600/466,362
  6. Step 6: Final answer
    x = 1,112,076.94

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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.