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Finding the Third Proportional to 485,094 and 744,598

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Solution

The third proportional to 485,094 and 744,598 is: 1,142,925.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,094 : 744,598 = 744,598 : x
  2. Step 2: Convert to fraction form
    485,094/744,598 = 744,598/x
  3. Step 3: Cross multiply
    485,094x = 744,598 × 744,598
  4. Step 4: Simplify right side
    485,094x = 554,426,181,604
  5. Step 5: Solve for x
    x = 554,426,181,604/485,094
  6. Step 6: Final answer
    x = 1,142,925.25

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.