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Finding the Third Proportional to 340,692 and 716,664

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Solution

The third proportional to 340,692 and 716,664 is: 1,507,541.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,692 : 716,664 = 716,664 : x
  2. Step 2: Convert to fraction form
    340,692/716,664 = 716,664/x
  3. Step 3: Cross multiply
    340,692x = 716,664 × 716,664
  4. Step 4: Simplify right side
    340,692x = 513,607,288,896
  5. Step 5: Solve for x
    x = 513,607,288,896/340,692
  6. Step 6: Final answer
    x = 1,507,541.38

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.