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Finding the Third Proportional to 331,641 and 710,597

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Solution

The third proportional to 331,641 and 710,597 is: 1,522,574.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,641 : 710,597 = 710,597 : x
  2. Step 2: Convert to fraction form
    331,641/710,597 = 710,597/x
  3. Step 3: Cross multiply
    331,641x = 710,597 × 710,597
  4. Step 4: Simplify right side
    331,641x = 504,948,096,409
  5. Step 5: Solve for x
    x = 504,948,096,409/331,641
  6. Step 6: Final answer
    x = 1,522,574.40

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.