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Finding the Third Proportional to 466,428 and 720,255

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Solution

The third proportional to 466,428 and 720,255 is: 1,112,212.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,428 : 720,255 = 720,255 : x
  2. Step 2: Convert to fraction form
    466,428/720,255 = 720,255/x
  3. Step 3: Cross multiply
    466,428x = 720,255 × 720,255
  4. Step 4: Simplify right side
    466,428x = 518,767,265,025
  5. Step 5: Solve for x
    x = 518,767,265,025/466,428
  6. Step 6: Final answer
    x = 1,112,212.96

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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.