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Finding the Third Proportional to 570,606 and 883,080

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Solution

The third proportional to 570,606 and 883,080 is: 1,366,670.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    570,606 : 883,080 = 883,080 : x
  2. Step 2: Convert to fraction form
    570,606/883,080 = 883,080/x
  3. Step 3: Cross multiply
    570,606x = 883,080 × 883,080
  4. Step 4: Simplify right side
    570,606x = 779,830,286,400
  5. Step 5: Solve for x
    x = 779,830,286,400/570,606
  6. Step 6: Final answer
    x = 1,366,670.32

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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.