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Finding the Third Proportional to 523,536 and 830,337

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Solution

The third proportional to 523,536 and 830,337 is: 1,316,928.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,536 : 830,337 = 830,337 : x
  2. Step 2: Convert to fraction form
    523,536/830,337 = 830,337/x
  3. Step 3: Cross multiply
    523,536x = 830,337 × 830,337
  4. Step 4: Simplify right side
    523,536x = 689,459,533,569
  5. Step 5: Solve for x
    x = 689,459,533,569/523,536
  6. Step 6: Final answer
    x = 1,316,928.60

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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.