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Finding the Third Proportional to 293,297 and 457,473.50

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Solution

The third proportional to 293,297 and 457,473.50 is: 713,549.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,297 : 457,473.50 = 457,473.50 : x
  2. Step 2: Convert to fraction form
    293,297/457,473.50 = 457,473.50/x
  3. Step 3: Cross multiply
    293,297x = 457,473.50 × 457,473.50
  4. Step 4: Simplify right side
    293,297x = 209,282,003,202.25
  5. Step 5: Solve for x
    x = 209,282,003,202.25/293,297
  6. Step 6: Final answer
    x = 713,549.76

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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.