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Finding the Third Proportional to 391,258 and 857,522

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Solution

The third proportional to 391,258 and 857,522 is: 1,879,435.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,258 : 857,522 = 857,522 : x
  2. Step 2: Convert to fraction form
    391,258/857,522 = 857,522/x
  3. Step 3: Cross multiply
    391,258x = 857,522 × 857,522
  4. Step 4: Simplify right side
    391,258x = 735,343,980,484
  5. Step 5: Solve for x
    x = 735,343,980,484/391,258
  6. Step 6: Final answer
    x = 1,879,435.00

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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.