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Finding the Third Proportional to 542,003 and 805,146

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Solution

The third proportional to 542,003 and 805,146 is: 1,196,045.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,003 : 805,146 = 805,146 : x
  2. Step 2: Convert to fraction form
    542,003/805,146 = 805,146/x
  3. Step 3: Cross multiply
    542,003x = 805,146 × 805,146
  4. Step 4: Simplify right side
    542,003x = 648,260,081,316
  5. Step 5: Solve for x
    x = 648,260,081,316/542,003
  6. Step 6: Final answer
    x = 1,196,045.19

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.