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Finding the Third Proportional to 603,270 and 896,706

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Solution

The third proportional to 603,270 and 896,706 is: 1,332,871.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    603,270 : 896,706 = 896,706 : x
  2. Step 2: Convert to fraction form
    603,270/896,706 = 896,706/x
  3. Step 3: Cross multiply
    603,270x = 896,706 × 896,706
  4. Step 4: Simplify right side
    603,270x = 804,081,650,436
  5. Step 5: Solve for x
    x = 804,081,650,436/603,270
  6. Step 6: Final answer
    x = 1,332,871.93

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.