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Finding the Third Proportional to 570,600 and 883,074

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Solution

The third proportional to 570,600 and 883,074 is: 1,366,666.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    570,600 : 883,074 = 883,074 : x
  2. Step 2: Convert to fraction form
    570,600/883,074 = 883,074/x
  3. Step 3: Cross multiply
    570,600x = 883,074 × 883,074
  4. Step 4: Simplify right side
    570,600x = 779,819,689,476
  5. Step 5: Solve for x
    x = 779,819,689,476/570,600
  6. Step 6: Final answer
    x = 1,366,666.12

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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.