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Finding the Third Proportional to 610,848 and 803,276.75

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Solution

The third proportional to 610,848 and 803,276.75 is: 1,056,324.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,848 : 803,276.75 = 803,276.75 : x
  2. Step 2: Convert to fraction form
    610,848/803,276.75 = 803,276.75/x
  3. Step 3: Cross multiply
    610,848x = 803,276.75 × 803,276.75
  4. Step 4: Simplify right side
    610,848x = 645,253,537,090.56
  5. Step 5: Solve for x
    x = 645,253,537,090.56/610,848
  6. Step 6: Final answer
    x = 1,056,324.22

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.