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Finding the Third Proportional to 570,369 and 797,458

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Solution

The third proportional to 570,369 and 797,458 is: 1,114,961.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    570,369 : 797,458 = 797,458 : x
  2. Step 2: Convert to fraction form
    570,369/797,458 = 797,458/x
  3. Step 3: Cross multiply
    570,369x = 797,458 × 797,458
  4. Step 4: Simplify right side
    570,369x = 635,939,261,764
  5. Step 5: Solve for x
    x = 635,939,261,764/570,369
  6. Step 6: Final answer
    x = 1,114,961.12

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.