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Finding the Third Proportional to 457,264 and 701,440

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Solution

The third proportional to 457,264 and 701,440 is: 1,076,004.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,264 : 701,440 = 701,440 : x
  2. Step 2: Convert to fraction form
    457,264/701,440 = 701,440/x
  3. Step 3: Cross multiply
    457,264x = 701,440 × 701,440
  4. Step 4: Simplify right side
    457,264x = 492,018,073,600
  5. Step 5: Solve for x
    x = 492,018,073,600/457,264
  6. Step 6: Final answer
    x = 1,076,004.39

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.