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Finding the Third Proportional to 452,201 and 719,814

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Solution

The third proportional to 452,201 and 719,814 is: 1,145,800.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,201 : 719,814 = 719,814 : x
  2. Step 2: Convert to fraction form
    452,201/719,814 = 719,814/x
  3. Step 3: Cross multiply
    452,201x = 719,814 × 719,814
  4. Step 4: Simplify right side
    452,201x = 518,132,194,596
  5. Step 5: Solve for x
    x = 518,132,194,596/452,201
  6. Step 6: Final answer
    x = 1,145,800.64

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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.