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Finding the Third Proportional to 463,464 and 737,493.75

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Solution

The third proportional to 463,464 and 737,493.75 is: 1,173,547.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,464 : 737,493.75 = 737,493.75 : x
  2. Step 2: Convert to fraction form
    463,464/737,493.75 = 737,493.75/x
  3. Step 3: Cross multiply
    463,464x = 737,493.75 × 737,493.75
  4. Step 4: Simplify right side
    463,464x = 543,897,031,289.06
  5. Step 5: Solve for x
    x = 543,897,031,289.06/463,464
  6. Step 6: Final answer
    x = 1,173,547.53

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.