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Finding the Third Proportional to 294,488 and 459,228

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Solution

The third proportional to 294,488 and 459,228 is: 716,125.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,488 : 459,228 = 459,228 : x
  2. Step 2: Convert to fraction form
    294,488/459,228 = 459,228/x
  3. Step 3: Cross multiply
    294,488x = 459,228 × 459,228
  4. Step 4: Simplify right side
    294,488x = 210,890,355,984
  5. Step 5: Solve for x
    x = 210,890,355,984/294,488
  6. Step 6: Final answer
    x = 716,125.47

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.