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Finding the Third Proportional to 282,052.13 and 603,460.13

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Solution

The third proportional to 282,052.13 and 603,460.13 is: 1,291,123.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,052.13 : 603,460.13 = 603,460.13 : x
  2. Step 2: Convert to fraction form
    282,052.13/603,460.13 = 603,460.13/x
  3. Step 3: Cross multiply
    282,052.13x = 603,460.13 × 603,460.13
  4. Step 4: Simplify right side
    282,052.13x = 364,164,122,465.02
  5. Step 5: Solve for x
    x = 364,164,122,465.02/282,052.13
  6. Step 6: Final answer
    x = 1,291,123.48

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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.