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Finding the Third Proportional to 293,322 and 457,511

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Solution

The third proportional to 293,322 and 457,511 is: 713,605.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,322 : 457,511 = 457,511 : x
  2. Step 2: Convert to fraction form
    293,322/457,511 = 457,511/x
  3. Step 3: Cross multiply
    293,322x = 457,511 × 457,511
  4. Step 4: Simplify right side
    293,322x = 209,316,315,121
  5. Step 5: Solve for x
    x = 209,316,315,121/293,322
  6. Step 6: Final answer
    x = 713,605.92

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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.