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Finding the Third Proportional to 473,485 and 637,933.50

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Solution

The third proportional to 473,485 and 637,933.50 is: 859,497.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,485 : 637,933.50 = 637,933.50 : x
  2. Step 2: Convert to fraction form
    473,485/637,933.50 = 637,933.50/x
  3. Step 3: Cross multiply
    473,485x = 637,933.50 × 637,933.50
  4. Step 4: Simplify right side
    473,485x = 406,959,150,422.25
  5. Step 5: Solve for x
    x = 406,959,150,422.25/473,485
  6. Step 6: Final answer
    x = 859,497.45

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.