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Finding the Third Proportional to 261,111 and 556,365

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Solution

The third proportional to 261,111 and 556,365 is: 1,185,480.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,111 : 556,365 = 556,365 : x
  2. Step 2: Convert to fraction form
    261,111/556,365 = 556,365/x
  3. Step 3: Cross multiply
    261,111x = 556,365 × 556,365
  4. Step 4: Simplify right side
    261,111x = 309,542,013,225
  5. Step 5: Solve for x
    x = 309,542,013,225/261,111
  6. Step 6: Final answer
    x = 1,185,480.56

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.