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Finding the Third Proportional to 251,804 and 540,877

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Solution

The third proportional to 251,804 and 540,877 is: 1,161,808.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,804 : 540,877 = 540,877 : x
  2. Step 2: Convert to fraction form
    251,804/540,877 = 540,877/x
  3. Step 3: Cross multiply
    251,804x = 540,877 × 540,877
  4. Step 4: Simplify right side
    251,804x = 292,547,929,129
  5. Step 5: Solve for x
    x = 292,547,929,129/251,804
  6. Step 6: Final answer
    x = 1,161,808.11

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.