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Finding the Third Proportional to 452,788 and 612,752

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Solution

The third proportional to 452,788 and 612,752 is: 829,229.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,788 : 612,752 = 612,752 : x
  2. Step 2: Convert to fraction form
    452,788/612,752 = 612,752/x
  3. Step 3: Cross multiply
    452,788x = 612,752 × 612,752
  4. Step 4: Simplify right side
    452,788x = 375,465,013,504
  5. Step 5: Solve for x
    x = 375,465,013,504/452,788
  6. Step 6: Final answer
    x = 829,229.16

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