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Finding the Third Proportional to 460,436 and 714,566

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Solution

The third proportional to 460,436 and 714,566 is: 1,108,958.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,436 : 714,566 = 714,566 : x
  2. Step 2: Convert to fraction form
    460,436/714,566 = 714,566/x
  3. Step 3: Cross multiply
    460,436x = 714,566 × 714,566
  4. Step 4: Simplify right side
    460,436x = 510,604,568,356
  5. Step 5: Solve for x
    x = 510,604,568,356/460,436
  6. Step 6: Final answer
    x = 1,108,958.83

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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.