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Finding the Third Proportional to 282,788 and 606,056.50

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Solution

The third proportional to 282,788 and 606,056.50 is: 1,298,868.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,788 : 606,056.50 = 606,056.50 : x
  2. Step 2: Convert to fraction form
    282,788/606,056.50 = 606,056.50/x
  3. Step 3: Cross multiply
    282,788x = 606,056.50 × 606,056.50
  4. Step 4: Simplify right side
    282,788x = 367,304,481,192.25
  5. Step 5: Solve for x
    x = 367,304,481,192.25/282,788
  6. Step 6: Final answer
    x = 1,298,868.70

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.