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Finding the Third Proportional to 462,608 and 714,920

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Solution

The third proportional to 462,608 and 714,920 is: 1,104,846.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,608 : 714,920 = 714,920 : x
  2. Step 2: Convert to fraction form
    462,608/714,920 = 714,920/x
  3. Step 3: Cross multiply
    462,608x = 714,920 × 714,920
  4. Step 4: Simplify right side
    462,608x = 511,110,606,400
  5. Step 5: Solve for x
    x = 511,110,606,400/462,608
  6. Step 6: Final answer
    x = 1,104,846.02

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.