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Finding the Third Proportional to 294,596 and 453,396

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Solution

The third proportional to 294,596 and 453,396 is: 697,796.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,596 : 453,396 = 453,396 : x
  2. Step 2: Convert to fraction form
    294,596/453,396 = 453,396/x
  3. Step 3: Cross multiply
    294,596x = 453,396 × 453,396
  4. Step 4: Simplify right side
    294,596x = 205,567,932,816
  5. Step 5: Solve for x
    x = 205,567,932,816/294,596
  6. Step 6: Final answer
    x = 697,796.08

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.