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Finding the Third Proportional to 301,573.13 and 649,482.75

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Solution

The third proportional to 301,573.13 and 649,482.75 is: 1,398,758.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,573.13 : 649,482.75 = 649,482.75 : x
  2. Step 2: Convert to fraction form
    301,573.13/649,482.75 = 649,482.75/x
  3. Step 3: Cross multiply
    301,573.13x = 649,482.75 × 649,482.75
  4. Step 4: Simplify right side
    301,573.13x = 421,827,842,547.56
  5. Step 5: Solve for x
    x = 421,827,842,547.56/301,573.13
  6. Step 6: Final answer
    x = 1,398,758.07

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.