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Finding the Third Proportional to 293,070 and 457,104

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Solution

The third proportional to 293,070 and 457,104 is: 712,949.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,070 : 457,104 = 457,104 : x
  2. Step 2: Convert to fraction form
    293,070/457,104 = 457,104/x
  3. Step 3: Cross multiply
    293,070x = 457,104 × 457,104
  4. Step 4: Simplify right side
    293,070x = 208,944,066,816
  5. Step 5: Solve for x
    x = 208,944,066,816/293,070
  6. Step 6: Final answer
    x = 712,949.35

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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.