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Finding the Third Proportional to 294,943 and 453,957

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Solution

The third proportional to 294,943 and 453,957 is: 698,700.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,943 : 453,957 = 453,957 : x
  2. Step 2: Convert to fraction form
    294,943/453,957 = 453,957/x
  3. Step 3: Cross multiply
    294,943x = 453,957 × 453,957
  4. Step 4: Simplify right side
    294,943x = 206,076,957,849
  5. Step 5: Solve for x
    x = 206,076,957,849/294,943
  6. Step 6: Final answer
    x = 698,700.96

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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.