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Finding the Third Proportional to 570,314 and 797,340

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Solution

The third proportional to 570,314 and 797,340 is: 1,114,738.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    570,314 : 797,340 = 797,340 : x
  2. Step 2: Convert to fraction form
    570,314/797,340 = 797,340/x
  3. Step 3: Cross multiply
    570,314x = 797,340 × 797,340
  4. Step 4: Simplify right side
    570,314x = 635,751,075,600
  5. Step 5: Solve for x
    x = 635,751,075,600/570,314
  6. Step 6: Final answer
    x = 1,114,738.68

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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.