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Finding the Third Proportional to 295,526 and 468,030

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Solution

The third proportional to 295,526 and 468,030 is: 741,227.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,526 : 468,030 = 468,030 : x
  2. Step 2: Convert to fraction form
    295,526/468,030 = 468,030/x
  3. Step 3: Cross multiply
    295,526x = 468,030 × 468,030
  4. Step 4: Simplify right side
    295,526x = 219,052,080,900
  5. Step 5: Solve for x
    x = 219,052,080,900/295,526
  6. Step 6: Final answer
    x = 741,227.78

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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.