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Finding the Third Proportional to 425,888 and 659,328

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Solution

The third proportional to 425,888 and 659,328 is: 1,020,722.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,888 : 659,328 = 659,328 : x
  2. Step 2: Convert to fraction form
    425,888/659,328 = 659,328/x
  3. Step 3: Cross multiply
    425,888x = 659,328 × 659,328
  4. Step 4: Simplify right side
    425,888x = 434,713,411,584
  5. Step 5: Solve for x
    x = 434,713,411,584/425,888
  6. Step 6: Final answer
    x = 1,020,722.38

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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.