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Finding the Third Proportional to 485,946 and 719,354.25

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Solution

The third proportional to 485,946 and 719,354.25 is: 1,064,872.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,946 : 719,354.25 = 719,354.25 : x
  2. Step 2: Convert to fraction form
    485,946/719,354.25 = 719,354.25/x
  3. Step 3: Cross multiply
    485,946x = 719,354.25 × 719,354.25
  4. Step 4: Simplify right side
    485,946x = 517,470,536,993.06
  5. Step 5: Solve for x
    x = 517,470,536,993.06/485,946
  6. Step 6: Final answer
    x = 1,064,872.51

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.