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Finding the Third Proportional to 450,176.63 and 686,698.59

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Solution

The third proportional to 450,176.63 and 686,698.59 is: 1,047,488.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,176.63 : 686,698.59 = 686,698.59 : x
  2. Step 2: Convert to fraction form
    450,176.63/686,698.59 = 686,698.59/x
  3. Step 3: Cross multiply
    450,176.63x = 686,698.59 × 686,698.59
  4. Step 4: Simplify right side
    450,176.63x = 471,554,958,658.23
  5. Step 5: Solve for x
    x = 471,554,958,658.23/450,176.63
  6. Step 6: Final answer
    x = 1,047,488.77

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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.