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Finding the Third Proportional to 570,616 and 883,100

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Solution

The third proportional to 570,616 and 883,100 is: 1,366,708.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    570,616 : 883,100 = 883,100 : x
  2. Step 2: Convert to fraction form
    570,616/883,100 = 883,100/x
  3. Step 3: Cross multiply
    570,616x = 883,100 × 883,100
  4. Step 4: Simplify right side
    570,616x = 779,865,610,000
  5. Step 5: Solve for x
    x = 779,865,610,000/570,616
  6. Step 6: Final answer
    x = 1,366,708.28

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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.