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Finding the Third Proportional to 452,185 and 719,792

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Solution

The third proportional to 452,185 and 719,792 is: 1,145,771.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,185 : 719,792 = 719,792 : x
  2. Step 2: Convert to fraction form
    452,185/719,792 = 719,792/x
  3. Step 3: Cross multiply
    452,185x = 719,792 × 719,792
  4. Step 4: Simplify right side
    452,185x = 518,100,523,264
  5. Step 5: Solve for x
    x = 518,100,523,264/452,185
  6. Step 6: Final answer
    x = 1,145,771.14

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.