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Finding the Third Proportional to 457,146 and 697,329

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Solution

The third proportional to 457,146 and 697,329 is: 1,063,703.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,146 : 697,329 = 697,329 : x
  2. Step 2: Convert to fraction form
    457,146/697,329 = 697,329/x
  3. Step 3: Cross multiply
    457,146x = 697,329 × 697,329
  4. Step 4: Simplify right side
    457,146x = 486,267,734,241
  5. Step 5: Solve for x
    x = 486,267,734,241/457,146
  6. Step 6: Final answer
    x = 1,063,703.36

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.