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Finding the Third Proportional to 714,165 and 947,803

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Solution

The third proportional to 714,165 and 947,803 is: 1,257,875.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,165 : 947,803 = 947,803 : x
  2. Step 2: Convert to fraction form
    714,165/947,803 = 947,803/x
  3. Step 3: Cross multiply
    714,165x = 947,803 × 947,803
  4. Step 4: Simplify right side
    714,165x = 898,330,526,809
  5. Step 5: Solve for x
    x = 898,330,526,809/714,165
  6. Step 6: Final answer
    x = 1,257,875.32

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.