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Finding the Third Proportional to 504,522 and 706,482

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Solution

The third proportional to 504,522 and 706,482 is: 989,286.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,522 : 706,482 = 706,482 : x
  2. Step 2: Convert to fraction form
    504,522/706,482 = 706,482/x
  3. Step 3: Cross multiply
    504,522x = 706,482 × 706,482
  4. Step 4: Simplify right side
    504,522x = 499,116,816,324
  5. Step 5: Solve for x
    x = 499,116,816,324/504,522
  6. Step 6: Final answer
    x = 989,286.53

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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.