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Finding the Third Proportional to 462,994 and 695,723

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Solution

The third proportional to 462,994 and 695,723 is: 1,045,435.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,994 : 695,723 = 695,723 : x
  2. Step 2: Convert to fraction form
    462,994/695,723 = 695,723/x
  3. Step 3: Cross multiply
    462,994x = 695,723 × 695,723
  4. Step 4: Simplify right side
    462,994x = 484,030,492,729
  5. Step 5: Solve for x
    x = 484,030,492,729/462,994
  6. Step 6: Final answer
    x = 1,045,435.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.