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Finding the Third Proportional to 452,746 and 612,686

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Solution

The third proportional to 452,746 and 612,686 is: 829,127.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,746 : 612,686 = 612,686 : x
  2. Step 2: Convert to fraction form
    452,746/612,686 = 612,686/x
  3. Step 3: Cross multiply
    452,746x = 612,686 × 612,686
  4. Step 4: Simplify right side
    452,746x = 375,384,134,596
  5. Step 5: Solve for x
    x = 375,384,134,596/452,746
  6. Step 6: Final answer
    x = 829,127.45

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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.