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Finding the Third Proportional to 264,020 and 542,037

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Solution

The third proportional to 264,020 and 542,037 is: 1,112,810.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,020 : 542,037 = 542,037 : x
  2. Step 2: Convert to fraction form
    264,020/542,037 = 542,037/x
  3. Step 3: Cross multiply
    264,020x = 542,037 × 542,037
  4. Step 4: Simplify right side
    264,020x = 293,804,109,369
  5. Step 5: Solve for x
    x = 293,804,109,369/264,020
  6. Step 6: Final answer
    x = 1,112,810.05

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.