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Finding the Third Proportional to 327,506 and 710,308

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Solution

The third proportional to 327,506 and 710,308 is: 1,540,544.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,506 : 710,308 = 710,308 : x
  2. Step 2: Convert to fraction form
    327,506/710,308 = 710,308/x
  3. Step 3: Cross multiply
    327,506x = 710,308 × 710,308
  4. Step 4: Simplify right side
    327,506x = 504,537,454,864
  5. Step 5: Solve for x
    x = 504,537,454,864/327,506
  6. Step 6: Final answer
    x = 1,540,544.16

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.