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Finding the Third Proportional to 523,476 and 830,250

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Solution

The third proportional to 523,476 and 830,250 is: 1,316,803.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,476 : 830,250 = 830,250 : x
  2. Step 2: Convert to fraction form
    523,476/830,250 = 830,250/x
  3. Step 3: Cross multiply
    523,476x = 830,250 × 830,250
  4. Step 4: Simplify right side
    523,476x = 689,315,062,500
  5. Step 5: Solve for x
    x = 689,315,062,500/523,476
  6. Step 6: Final answer
    x = 1,316,803.56

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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.