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Finding the Third Proportional to 393,507 and 841,716

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Solution

The third proportional to 393,507 and 841,716 is: 1,800,440.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,507 : 841,716 = 841,716 : x
  2. Step 2: Convert to fraction form
    393,507/841,716 = 841,716/x
  3. Step 3: Cross multiply
    393,507x = 841,716 × 841,716
  4. Step 4: Simplify right side
    393,507x = 708,485,824,656
  5. Step 5: Solve for x
    x = 708,485,824,656/393,507
  6. Step 6: Final answer
    x = 1,800,440.21

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.