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Finding the Third Proportional to 452,742 and 612,681

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Solution

The third proportional to 452,742 and 612,681 is: 829,121.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,742 : 612,681 = 612,681 : x
  2. Step 2: Convert to fraction form
    452,742/612,681 = 612,681/x
  3. Step 3: Cross multiply
    452,742x = 612,681 × 612,681
  4. Step 4: Simplify right side
    452,742x = 375,378,007,761
  5. Step 5: Solve for x
    x = 375,378,007,761/452,742
  6. Step 6: Final answer
    x = 829,121.24

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.