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Finding the Third Proportional to 560,588 and 870,406

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Solution

The third proportional to 560,588 and 870,406 is: 1,351,449.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,588 : 870,406 = 870,406 : x
  2. Step 2: Convert to fraction form
    560,588/870,406 = 870,406/x
  3. Step 3: Cross multiply
    560,588x = 870,406 × 870,406
  4. Step 4: Simplify right side
    560,588x = 757,606,604,836
  5. Step 5: Solve for x
    x = 757,606,604,836/560,588
  6. Step 6: Final answer
    x = 1,351,449.91

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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.