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Finding the Third Proportional to 567,537 and 846,381

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Solution

The third proportional to 567,537 and 846,381 is: 1,262,227.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,537 : 846,381 = 846,381 : x
  2. Step 2: Convert to fraction form
    567,537/846,381 = 846,381/x
  3. Step 3: Cross multiply
    567,537x = 846,381 × 846,381
  4. Step 4: Simplify right side
    567,537x = 716,360,797,161
  5. Step 5: Solve for x
    x = 716,360,797,161/567,537
  6. Step 6: Final answer
    x = 1,262,227.48

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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.