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Finding the Third Proportional to 456,004 and 681,453

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Solution

The third proportional to 456,004 and 681,453 is: 1,018,364.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,004 : 681,453 = 681,453 : x
  2. Step 2: Convert to fraction form
    456,004/681,453 = 681,453/x
  3. Step 3: Cross multiply
    456,004x = 681,453 × 681,453
  4. Step 4: Simplify right side
    456,004x = 464,378,191,209
  5. Step 5: Solve for x
    x = 464,378,191,209/456,004
  6. Step 6: Final answer
    x = 1,018,364.29

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.