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Finding the Third Proportional to 402,366 and 607,652

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Solution

The third proportional to 402,366 and 607,652 is: 917,674.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,366 : 607,652 = 607,652 : x
  2. Step 2: Convert to fraction form
    402,366/607,652 = 607,652/x
  3. Step 3: Cross multiply
    402,366x = 607,652 × 607,652
  4. Step 4: Simplify right side
    402,366x = 369,240,953,104
  5. Step 5: Solve for x
    x = 369,240,953,104/402,366
  6. Step 6: Final answer
    x = 917,674.34

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.