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Finding the Third Proportional to 301,816.13 and 482,248.69

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Solution

The third proportional to 301,816.13 and 482,248.69 is: 770,547.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,816.13 : 482,248.69 = 482,248.69 : x
  2. Step 2: Convert to fraction form
    301,816.13/482,248.69 = 482,248.69/x
  3. Step 3: Cross multiply
    301,816.13x = 482,248.69 × 482,248.69
  4. Step 4: Simplify right side
    301,816.13x = 232,563,796,595.47
  5. Step 5: Solve for x
    x = 232,563,796,595.47/301,816.13
  6. Step 6: Final answer
    x = 770,547.95

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.