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Finding the Third Proportional to 452,206.88 and 719,823

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Solution

The third proportional to 452,206.88 and 719,823 is: 1,145,814.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,206.88 : 719,823 = 719,823 : x
  2. Step 2: Convert to fraction form
    452,206.88/719,823 = 719,823/x
  3. Step 3: Cross multiply
    452,206.88x = 719,823 × 719,823
  4. Step 4: Simplify right side
    452,206.88x = 518,145,151,329
  5. Step 5: Solve for x
    x = 518,145,151,329/452,206.88
  6. Step 6: Final answer
    x = 1,145,814.40

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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.