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Finding the Third Proportional to 582,548 and 904,914

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Solution

The third proportional to 582,548 and 904,914 is: 1,405,668.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,548 : 904,914 = 904,914 : x
  2. Step 2: Convert to fraction form
    582,548/904,914 = 904,914/x
  3. Step 3: Cross multiply
    582,548x = 904,914 × 904,914
  4. Step 4: Simplify right side
    582,548x = 818,869,347,396
  5. Step 5: Solve for x
    x = 818,869,347,396/582,548
  6. Step 6: Final answer
    x = 1,405,668.46

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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.