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Finding the Third Proportional to 294,323 and 455,633

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Solution

The third proportional to 294,323 and 455,633 is: 705,352.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,323 : 455,633 = 455,633 : x
  2. Step 2: Convert to fraction form
    294,323/455,633 = 455,633/x
  3. Step 3: Cross multiply
    294,323x = 455,633 × 455,633
  4. Step 4: Simplify right side
    294,323x = 207,601,430,689
  5. Step 5: Solve for x
    x = 207,601,430,689/294,323
  6. Step 6: Final answer
    x = 705,352.39

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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.