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Finding the Third Proportional to 280,854.84 and 430,668.14

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Solution

The third proportional to 280,854.84 and 430,668.14 is: 660,394.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,854.84 : 430,668.14 = 430,668.14 : x
  2. Step 2: Convert to fraction form
    280,854.84/430,668.14 = 430,668.14/x
  3. Step 3: Cross multiply
    280,854.84x = 430,668.14 × 430,668.14
  4. Step 4: Simplify right side
    280,854.84x = 185,475,047,349.40
  5. Step 5: Solve for x
    x = 185,475,047,349.40/280,854.84
  6. Step 6: Final answer
    x = 660,394.69

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.