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Finding the Third Proportional to 288,428 and 621,232

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Solution

The third proportional to 288,428 and 621,232 is: 1,338,043.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,428 : 621,232 = 621,232 : x
  2. Step 2: Convert to fraction form
    288,428/621,232 = 621,232/x
  3. Step 3: Cross multiply
    288,428x = 621,232 × 621,232
  4. Step 4: Simplify right side
    288,428x = 385,929,197,824
  5. Step 5: Solve for x
    x = 385,929,197,824/288,428
  6. Step 6: Final answer
    x = 1,338,043.46

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.