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Finding the Third Proportional to 261,303 and 572,406

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Solution

The third proportional to 261,303 and 572,406 is: 1,253,903.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,303 : 572,406 = 572,406 : x
  2. Step 2: Convert to fraction form
    261,303/572,406 = 572,406/x
  3. Step 3: Cross multiply
    261,303x = 572,406 × 572,406
  4. Step 4: Simplify right side
    261,303x = 327,648,628,836
  5. Step 5: Solve for x
    x = 327,648,628,836/261,303
  6. Step 6: Final answer
    x = 1,253,903.05

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.