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Finding the Third Proportional to 567,891 and 846,915.75

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Solution

The third proportional to 567,891 and 846,915.75 is: 1,263,035.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,891 : 846,915.75 = 846,915.75 : x
  2. Step 2: Convert to fraction form
    567,891/846,915.75 = 846,915.75/x
  3. Step 3: Cross multiply
    567,891x = 846,915.75 × 846,915.75
  4. Step 4: Simplify right side
    567,891x = 717,266,287,598.06
  5. Step 5: Solve for x
    x = 717,266,287,598.06/567,891
  6. Step 6: Final answer
    x = 1,263,035.14

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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.