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Finding the Third Proportional to 294,324 and 455,634

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Solution

The third proportional to 294,324 and 455,634 is: 705,353.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,324 : 455,634 = 455,634 : x
  2. Step 2: Convert to fraction form
    294,324/455,634 = 455,634/x
  3. Step 3: Cross multiply
    294,324x = 455,634 × 455,634
  4. Step 4: Simplify right side
    294,324x = 207,602,341,956
  5. Step 5: Solve for x
    x = 207,602,341,956/294,324
  6. Step 6: Final answer
    x = 705,353.09

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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.