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Finding the Third Proportional to 294,196 and 454,596

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Solution

The third proportional to 294,196 and 454,596 is: 702,448.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,196 : 454,596 = 454,596 : x
  2. Step 2: Convert to fraction form
    294,196/454,596 = 454,596/x
  3. Step 3: Cross multiply
    294,196x = 454,596 × 454,596
  4. Step 4: Simplify right side
    294,196x = 206,657,523,216
  5. Step 5: Solve for x
    x = 206,657,523,216/294,196
  6. Step 6: Final answer
    x = 702,448.45

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.