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Finding the Third Proportional to 453,895 and 659,559

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Solution

The third proportional to 453,895 and 659,559 is: 958,411.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,895 : 659,559 = 659,559 : x
  2. Step 2: Convert to fraction form
    453,895/659,559 = 659,559/x
  3. Step 3: Cross multiply
    453,895x = 659,559 × 659,559
  4. Step 4: Simplify right side
    453,895x = 435,018,074,481
  5. Step 5: Solve for x
    x = 435,018,074,481/453,895
  6. Step 6: Final answer
    x = 958,411.25

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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.