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Finding the Third Proportional to 452,752 and 612,697

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Solution

The third proportional to 452,752 and 612,697 is: 829,146.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,752 : 612,697 = 612,697 : x
  2. Step 2: Convert to fraction form
    452,752/612,697 = 612,697/x
  3. Step 3: Cross multiply
    452,752x = 612,697 × 612,697
  4. Step 4: Simplify right side
    452,752x = 375,397,613,809
  5. Step 5: Solve for x
    x = 375,397,613,809/452,752
  6. Step 6: Final answer
    x = 829,146.23

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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.