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Finding the Third Proportional to 529,336 and 841,313

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Solution

The third proportional to 529,336 and 841,313 is: 1,337,161.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,336 : 841,313 = 841,313 : x
  2. Step 2: Convert to fraction form
    529,336/841,313 = 841,313/x
  3. Step 3: Cross multiply
    529,336x = 841,313 × 841,313
  4. Step 4: Simplify right side
    529,336x = 707,807,563,969
  5. Step 5: Solve for x
    x = 707,807,563,969/529,336
  6. Step 6: Final answer
    x = 1,337,161.21

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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.