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Finding the Third Proportional to 452,176 and 719,778

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Solution

The third proportional to 452,176 and 719,778 is: 1,145,749.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,176 : 719,778 = 719,778 : x
  2. Step 2: Convert to fraction form
    452,176/719,778 = 719,778/x
  3. Step 3: Cross multiply
    452,176x = 719,778 × 719,778
  4. Step 4: Simplify right side
    452,176x = 518,080,369,284
  5. Step 5: Solve for x
    x = 518,080,369,284/452,176
  6. Step 6: Final answer
    x = 1,145,749.37

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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.