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Finding the Third Proportional to 295,520 and 468,021

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Solution

The third proportional to 295,520 and 468,021 is: 741,214.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,520 : 468,021 = 468,021 : x
  2. Step 2: Convert to fraction form
    295,520/468,021 = 468,021/x
  3. Step 3: Cross multiply
    295,520x = 468,021 × 468,021
  4. Step 4: Simplify right side
    295,520x = 219,043,656,441
  5. Step 5: Solve for x
    x = 219,043,656,441/295,520
  6. Step 6: Final answer
    x = 741,214.32

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.