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Finding the Third Proportional to 523,482 and 830,259

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Solution

The third proportional to 523,482 and 830,259 is: 1,316,817.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,482 : 830,259 = 830,259 : x
  2. Step 2: Convert to fraction form
    523,482/830,259 = 830,259/x
  3. Step 3: Cross multiply
    523,482x = 830,259 × 830,259
  4. Step 4: Simplify right side
    523,482x = 689,330,007,081
  5. Step 5: Solve for x
    x = 689,330,007,081/523,482
  6. Step 6: Final answer
    x = 1,316,817.02

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.