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Finding the Third Proportional to 570,596 and 883,040

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Solution

The third proportional to 570,596 and 883,040 is: 1,366,570.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    570,596 : 883,040 = 883,040 : x
  2. Step 2: Convert to fraction form
    570,596/883,040 = 883,040/x
  3. Step 3: Cross multiply
    570,596x = 883,040 × 883,040
  4. Step 4: Simplify right side
    570,596x = 779,759,641,600
  5. Step 5: Solve for x
    x = 779,759,641,600/570,596
  6. Step 6: Final answer
    x = 1,366,570.47

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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.