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Finding the Third Proportional to 582,604 and 904,145

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Solution

The third proportional to 582,604 and 904,145 is: 1,403,145.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,604 : 904,145 = 904,145 : x
  2. Step 2: Convert to fraction form
    582,604/904,145 = 904,145/x
  3. Step 3: Cross multiply
    582,604x = 904,145 × 904,145
  4. Step 4: Simplify right side
    582,604x = 817,478,181,025
  5. Step 5: Solve for x
    x = 817,478,181,025/582,604
  6. Step 6: Final answer
    x = 1,403,145.50

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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.