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Finding the Third Proportional to 570,258 and 797,258

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Solution

The third proportional to 570,258 and 797,258 is: 1,114,618.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    570,258 : 797,258 = 797,258 : x
  2. Step 2: Convert to fraction form
    570,258/797,258 = 797,258/x
  3. Step 3: Cross multiply
    570,258x = 797,258 × 797,258
  4. Step 4: Simplify right side
    570,258x = 635,620,318,564
  5. Step 5: Solve for x
    x = 635,620,318,564/570,258
  6. Step 6: Final answer
    x = 1,114,618.85

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.