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Finding the Third Proportional to 430.59 and 924.47

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Solution

The third proportional to 430.59 and 924.47 is: 1,984.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.59 : 924.47 = 924.47 : x
  2. Step 2: Convert to fraction form
    430.59/924.47 = 924.47/x
  3. Step 3: Cross multiply
    430.59x = 924.47 × 924.47
  4. Step 4: Simplify right side
    430.59x = 854,642.47
  5. Step 5: Solve for x
    x = 854,642.47/430.59
  6. Step 6: Final answer
    x = 1,984.80

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.