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Finding the Third Proportional to 480,236 and 695,559

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Solution

The third proportional to 480,236 and 695,559 is: 1,007,426.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    480,236 : 695,559 = 695,559 : x
  2. Step 2: Convert to fraction form
    480,236/695,559 = 695,559/x
  3. Step 3: Cross multiply
    480,236x = 695,559 × 695,559
  4. Step 4: Simplify right side
    480,236x = 483,802,322,481
  5. Step 5: Solve for x
    x = 483,802,322,481/480,236
  6. Step 6: Final answer
    x = 1,007,426.19

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.