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Finding the Third Proportional to 523,546 and 830,355

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Solution

The third proportional to 523,546 and 830,355 is: 1,316,960.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,546 : 830,355 = 830,355 : x
  2. Step 2: Convert to fraction form
    523,546/830,355 = 830,355/x
  3. Step 3: Cross multiply
    523,546x = 830,355 × 830,355
  4. Step 4: Simplify right side
    523,546x = 689,489,426,025
  5. Step 5: Solve for x
    x = 689,489,426,025/523,546
  6. Step 6: Final answer
    x = 1,316,960.55

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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.