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Finding the Third Proportional to 500,365 and 737,313

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Solution

The third proportional to 500,365 and 737,313 is: 1,086,467.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,365 : 737,313 = 737,313 : x
  2. Step 2: Convert to fraction form
    500,365/737,313 = 737,313/x
  3. Step 3: Cross multiply
    500,365x = 737,313 × 737,313
  4. Step 4: Simplify right side
    500,365x = 543,630,459,969
  5. Step 5: Solve for x
    x = 543,630,459,969/500,365
  6. Step 6: Final answer
    x = 1,086,467.80

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.