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Finding the Third Proportional to 523,519 and 830,315

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Solution

The third proportional to 523,519 and 830,315 is: 1,316,901.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,519 : 830,315 = 830,315 : x
  2. Step 2: Convert to fraction form
    523,519/830,315 = 830,315/x
  3. Step 3: Cross multiply
    523,519x = 830,315 × 830,315
  4. Step 4: Simplify right side
    523,519x = 689,422,999,225
  5. Step 5: Solve for x
    x = 689,422,999,225/523,519
  6. Step 6: Final answer
    x = 1,316,901.58

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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.