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Finding the Third Proportional to 583,338 and 784,611

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Solution

The third proportional to 583,338 and 784,611 is: 1,055,330.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,338 : 784,611 = 784,611 : x
  2. Step 2: Convert to fraction form
    583,338/784,611 = 784,611/x
  3. Step 3: Cross multiply
    583,338x = 784,611 × 784,611
  4. Step 4: Simplify right side
    583,338x = 615,614,421,321
  5. Step 5: Solve for x
    x = 615,614,421,321/583,338
  6. Step 6: Final answer
    x = 1,055,330.57

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.