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Finding the Third Proportional to 294,464 and 459,192

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Solution

The third proportional to 294,464 and 459,192 is: 716,071.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,464 : 459,192 = 459,192 : x
  2. Step 2: Convert to fraction form
    294,464/459,192 = 459,192/x
  3. Step 3: Cross multiply
    294,464x = 459,192 × 459,192
  4. Step 4: Simplify right side
    294,464x = 210,857,292,864
  5. Step 5: Solve for x
    x = 210,857,292,864/294,464
  6. Step 6: Final answer
    x = 716,071.55

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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.