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Finding the Third Proportional to 570,714 and 884,924

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Solution

The third proportional to 570,714 and 884,924 is: 1,372,124.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    570,714 : 884,924 = 884,924 : x
  2. Step 2: Convert to fraction form
    570,714/884,924 = 884,924/x
  3. Step 3: Cross multiply
    570,714x = 884,924 × 884,924
  4. Step 4: Simplify right side
    570,714x = 783,090,485,776
  5. Step 5: Solve for x
    x = 783,090,485,776/570,714
  6. Step 6: Final answer
    x = 1,372,124.19

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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.